Some Results on δ-Semiperfect Rings and δ-Supplemented Modules

ABDIOGLU, CIHAT,SAHINKAYA, SERAP Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.2

In [9], the author extends the definition of lifting and supplemented modules to ${\delta}$-lifting and ${\delta}$-supplemented by replacing "small submodule" with "${\delta}$-small submodule" introduced by Zhou in [13]. The aim of this paper is to show new properties of ${\delta}$-lifting and ${\delta}$-supplemented modules. Especially, we show that any finite direct sum of ${\delta}$-hollow modules is ${\delta}$-supplemented. On the other hand, the notion of amply ${\delta}$-supplemented modules is studied as a generalization of amply supplemented modules and several properties of these modules are given. We also prove that a module M is Artinian if and only if M is amply ${\delta}$-supplemented and satisfies Descending Chain Condition (DCC) on ${\delta}$-supplemented modules and on ${\delta}$-small submodules. Finally, we obtain the following result: a ring R is right Artinian if and only if R is a ${\delta}$-semiperfect ring which satisfies DCC on ${\delta}$-small right ideals of R.

쥐 뇌의 ${\Delta}^{5}-3{\beta}$-Hydroxy Steroid Acyl 전이효소의 용해 및 Liposome에서의 재구성

고규정,박인호,한범구,조도현,Ko, Kyu-Jung,Park, In-Ho,Han, Beom-Ku,Jo, Do-Hyun 한국응용생명화학회 1995 Applied Biological Chemistry (Appl Biol Chem) Vol.38 No.4

쥐 뇌의 microsome으로 부터 ${\Delta}^{5}-3{\beta}$-hydroxy steroid acyl 전이효소(${\Delta}^{5}-3{\beta}$-OH-SAT)를 detergent를 이용하여 용해한 뒤에 인산지방질 liposome에서 재구성하여 처리하지 않은 microsome의 ${\Delta}^{5}-3{\beta}$-OH-SAT의 활성도와 비교하였다. 용해에 사용한 detergent중에는 deoxycholic acid가 Tween 80이나 Triton X-100 보다 우수한 ${\Delta}^{5}-3{\beta}$-OH-SAT 활성도를 나타냈으며, liposome 생성에 사용한 인산지방질중에서는 난황 및 대두 phosphatidyl-choline이 가장 높은 활성도를 보였으며 그 다음이 phosphatidylethanolamine이었고 phosphatidylserine과 phosphatidic acid는 재구성하지 않은 용해된 효소보다 ${\Delta}^{5}-3{\beta}$-OH-SAT 활성도가 낮았다. 따라서 인산지방질의 head group의 4차 암모늄기나 amine기는 ${\Delta}^{5}-3{\beta}$-OH-SAT의 재구성활성을 촉진시키고 COOH기가 amine기와 함께 존재하거나 amine기가 없으면 이 효소의 활성이 저해됨을 알 수 있었다. Solubilization of microsomal ${\Delta}^{5}-3{\beta}$-hydroxy steroid acyl transfearse(${\Delta}^{5}-3{\beta}$-OH-SAT) of rat brain and its reconstitution into liposomes were investigated. Among the detergents utilized for the solubilization, deoxycholic acid was superior to Tween 80 or Triton X-100 for the reconstituted activity of ${\Delta}^{5}-3{\beta}$-OH-SAT. The enzyme activity was shown to be affected by the nature of phospholipids used for the preparation of the liposome. Phosphatidylcholines from egg yolk and soybean showed the highest activity of ${\Delta}^{5}-3{\beta}$-OH-SAT and phosphatidylethanolamine came next. However phosphatidylserine and phosphatidic acid showed a lower activity than those obtained before the reconstitution. This study suggests that the presence of quaternary ammonium salt or amine group in the phospholipids stimulates the activity of ${\Delta}^{5}-3{\beta}$-OH-SAT. However the presence of a carboxylic group or the absence of the amine group may have an inhibitory effect on the ${\Delta}^{5}-3{\beta}$-OH SAT.

$(m,n)$-closed $\delta$-primary ideals in amalgamation

Mohammad Hamoda,Mohammed Issoual 대한수학회 2024 대한수학회논문집 Vol.39 No.3

Let $R$ be a commutative ring with $1\neq 0.$ Let $Id(R)$ be the set of all ideals of $R$ and let $\delta: Id(R)\longrightarrow Id(R)$ be a function. Then $\delta$ is called an expansion function of the ideals of $R$ if whenever $L, I, J$ are ideals of $R$ with $J\subseteq I,$ then $L\subseteq \delta(L)$ and $\delta(J)\subseteq \delta(I).$ Let $\delta$ be an expansion function of the ideals of $R$ and $m\geq n>0$ be positive integers. Then a proper ideal $I$ of $R$ is called an \textit{$(m,n)$-closed $\delta$-primary ideal} (resp., \textit{weakly $(m,n)$-closed $\delta$-primary ideal}) if $a^{m}\in I$ for some $a\in R$ implies $a^{n}\in\delta(I)$ (resp., if $0\neq a^{m}\in I$ for some $a\in R$ implies $a^{n}\in\delta(I)).$ Let $f:A\longrightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B.$ This paper investigates the concept of $(m,n)$-closed $\delta$-primary ideals in the amalgamation of $A$ with $B$ along $J$ with respect to $f$ denoted by $A\bowtie^{f}J.$

Experimental analysis of the sedimentation processes by variation of standing angle in the improved-pneumatic-movable weir

Lee Kyung Su,Jang Chang-Lae 한국수자원학회 2018 한국수자원학회논문집 Vol.51 No.9

본 연구에서는 실내실험을 통하여 개량형 공압식 가동보를 대상으로 보의 기립각도를 고려한 유사의 퇴적과 델타의 발달 과정을 파악하였다. 가동보 상류에서 유입되는 유사는 배수의 영향으로 유속이 느려지면서 퇴적이 되고 델타가 형성되며 하류로 이동하였다. 각 실험조건에 대하여 시간에 따른 델타의 이동속도는 델타는 시간이 지나면서 현저하게 감소하고, 보에 접근하였다. 무차원 델타의 높이(hd/h)가 증가할수록 무차원 델타의 이동속도(SD/V0)는 감소하였다. 따라서 델타의 높이(hd)가 증가할수록 수심(h)은 감소하였다. 델타의 유효높이(hw)가 크기 때문에 델타의 체적 (VxD)은 증가하지만 배수(backwater)의 영향을 받아 델타의 이동속도(SD)와 퇴적량은 감소하였다. 수로 경사가 일정할 때, 보의 높이(W)가 클수록 델타체적(VxD)이 증가하고, 델타의 전면부 길이비(hd/△S)는 1에 가깝다. 같은 유량조건인 경우에 가동보의 기립 각도가 가장 클 때, 시간당 델타의 퇴적량(Qs)은 가장 작았다. 따라서 보의 높이(W)가 클수록 델타의 발달을 억제할 수 있는 효과가 크다. `This study investigates the hydraulic characteristics and the delta development processes in the improved-pneumatic-movable weir by considering the standing angle of the weir through laboratory experiments. The delta migration speed decreases rapidly with time. As the ratio of delta height to water depth increases, the dimensionless delta migration speed decreases at the delta point. Therefore, the water depth decreases as the delta height increases. Although the delta volume is large due to the effective height of the delta, the delta migration speed and sediment deposition decreases because of the backwater effect on the delta. On the same bed slope condition, the larger the weir height, the larger the delta volume and the ratio of delta height to delta front length is close to 1.0. The delta development could be suppressed when the weir is high. Therefore, the condition that the weir is high has the suppressing effect on the delta developments.

수도권에서 대마 이성질체(Delta-8 Tetrahydrocannabinol)의 남용 현황

박미정,김시연,이나현,강서진,문성민,염혜선,신일청,이종숙,김지현 한국법과학회 2023 한국법과학회지 Vol.24 No.2

While delta-8 THC products are used without legal regulation in the United States and other countries, they are legally controlled in South Korea. The types of evidence submitted to the Seoul Institute of National Forensic Service include seized materials, urine, and hair. In this study, we analyzed the results of delta-8 THC-related results from 2021 to June 2023 for seized materials and urine, and from 2022 to June 2023 for hair samples. In total, delta-8 THC was detected in 324 seizures, with the majority of cases (284) containing both delta-8 and delta-9 THC. 33 cases containing delta-8 THC alone, and 7 cases containing delta-8 THC, delta-9 THC, and synthetic cannabinoids. In cases where delta-8 THC was detected alone, the most common evidence type was jelly (14 cases), followed by e-cigarettes. In cases where both components were detected together, e-cigarettes were the most common. There were a total of 83 cases where delta-8 THCCOOH was detected in urine. Among of them, delta-8 THCCOOH was detected alone in 3 cases, while delta-8 THCCOOH and delta-9 THCCOOH were detected together in 75 cases. We analyzed the cases where delta-8 THCCOOH was detected in hair samples. A total of 83 cases were positive, with 16 cases detecting only delta- 8 THCCOOH and 67 cases detecting both delta-8 THCCOOH and delta-9 THCCOOH.

MORE GENERALIZED FUZZY SUBSEMIGROUPS/IDEALS IN SEMIGROUPS

Khan, Muhammad Sajjad Ali,Abdullah, Saleem,Jun, Young Bi,Rahman, Khaista The Honam Mathematical Society 2017 호남수학학술지 Vol.39 No.4

The main motivation of this article is to generalized the concept of fuzzy ideals, (${\alpha},{\beta}$)-fuzzy ideals, (${\in},{\in}{\vee}q_k$)-fuzzy ideals of semigroups. By using the concept of $q^{\delta}_K$-quasi-coincident of a fuzzy point with a fuzzy set, we introduce the notions of (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy left ideal, (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy right ideal of a semigroup. Special sets, so called $Q^{\delta}_k$-set and $[{\lambda}^{\delta}_k]_t$-set, condition for the $Q^{\delta}_k$-set and $[{\lambda}^{\delta}_k]_t$-set-set to be left (resp. right) ideals are considered. We finally characterize different classes of semigroups (regular, left weakly regular, right weakly regular) in term of (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy left ideal, (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy right ideal and (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy ideal of semigroup S.

결핵환자에서 말초혈액과 흉막액내 ${\gamma}{\delta}$ T 림프구의 의의

송광선,신계철,김도훈,홍애라,김희선,용석중,Song, Kwang Seon,Shin, Kye Chul,Kim, Do Hun,Hong, Ae Ra,Kim, Hee Seon,Yong, Suk Joong 대한결핵및호흡기학회 1997 Tuberculosis and Respiratory Diseases Vol.44 No.1

연구배경 : 최근 알려진 ${\gamma}{\delta}$ 수용체는 결핵균 감염의 초기에 제2형 주요 조직적합성 복합계(MHC class II)의 인식없이 결핵균 항원에 반응하여 세포성 면역반응을 나타냄이 보고되었다. 이에 연구자등은 페결핵환자와 결핵성 흉막염 환자, 그리고 다른 원인의 흉막염 환자사이에 T 림프구의 조성과 ${\gamma}{\delta}$ T-림프구 수의 차이를 관찰하였다. 방법 : 대상은 폐결핵환자 30예(이중 결핵성 흉막염환자 15예), 폐암 환자 12예(이중 악성 흉막염 환자 9예), 폐렴 7예(이중 폐렴성 흉막염 6예)등 모두 49예였다. 혈청 ADA(adenosine deaminase)활성도는 Hitachi 747 자동화학분석기에서 측정하였다. T 세포 림프구 아형의 분류는 lysed whole blood method로 anti-Leu4, anti-Leu3a, anti-Leu2a, anti HLA-DR 그리고 anti-TCR-${\gamma}{\delta}$-1를 이용하여 flow cytometer로 분석하였다. 결과 : 1. 말초혈액내 ${\gamma}{\delta}$-T 림프구의 평균치는 $4.8{\pm}4.6%$ 였고, 결핵군(29예) $5.5{\pm}4.5%$, 비결핵군(14예) $3.3{\pm}2.9%$(폐암군 $4.0{\pm}3.2%$, 폐렴군 $2.2{\pm}1.6%$로 유의한 차이는 없었다(p=0.24). 질병의 이환기간 1개월 이내의 환자중에서도 결핵군(20예) $6.4{\pm}6.6%$, 비결핵군(14예) $3.3{\pm}2.9%$ 으로 유의한 차이는 없었다(p=0.16)(Table 1). 2. 흉막액내 T 세포 림프구 아형중 CD4 림프구는 결핵성 흉막액에서는 $54.6{\pm}13.8%$, 비결핵성 흉막액에서는 $36.2{\pm}25.3%$(악성 흉막액 $38.4{\pm}23.8%$, 폐렴정 흉막액 $30.1{\pm}34.0%$ 결핵성 흉막액에서 의의있게 높았다(p=0.04)(Table 2). 3. 흉막염이 있던 환자에서 말초혈액내 ${\gamma}{\delta}$-T 림프구는 결핵성 흉막염군(14예)이 $7.0{\pm}9.0%$, 비결핵성 흉막염군(11예) $3.0{\pm}2.0%$ (악성 흉막염군 $3.1{\pm}2.2%$, 폐렴성 흉막염군 $2.7{\pm}1.7%$로 차이는 없었다(p=0.16). 흉막액내 ${\gamma}{\delta}$-T 림프구는 결핵성 흉막염군(15예)이 $3.9{\pm}2.9%$, 비결핵성 흉막염군(10예) $2.1{\pm}2.2%$(악성 흉막염군 $2.0{\pm}2.5%$, 폐렴성 흉막염군 $2.4{\pm}1.7%$ 로 유의한 차이가 없었다(p=0.12). 4. 환자의 연령이나 성별과 말초혈액내 ${\gamma}{\delta}$-T 림프구수와는 상관관계가 없었고, 폐결핵 환자에서 병변의 정도, 혈청 및 흉막액내 ADA와 ${\gamma}{\delta}$-T 림프구수와도 상관관계가 없었다. 결론 : 결핵성 흉막염환자에서 말초혈액 및 흉막액내 ${\gamma}{\delta}$-T 림프구수의 유의한 증가는 없어 다른 질환과의 감별진단에 도움이 되지 못할 것으로 생각되며, ${\gamma}{\delta}$-T 림프구의 증가는 결핵 초기 환자들을 대상으로 추가 연구가 필요할 것으로 생각된다. Background : The changes of the composition in the T-lymphocyte are important as an immunological abnormality in the pathogenesis of tuberculosis. Previously, the second type of TCR dimer(${\gamma}{\delta}$ T lymphocyte) that did not express CD4 or CD8 molecules was found. In other reports the presence of this type of lymphocytes was increased in the initial stage of tuberculous infections. Method : To determine whether there are some differences in the T-lymphocyte subsets in the peripheral blood or pleural effusion between pleural tuberculosis and other pleurisy. Thirty patients with pleural effusion among the forty-nine patients were examined T-lymphocyte subset analysis(CD4+T-cell,CD8+ T-cell,${\gamma}{\delta}$ T-lymphocytes) with anti- Leu4, anti-Leu3a, anti-Lea2a, anti HLA-DR and anti-TCR-${\gamma}{\delta}$-1(Becton & Dickinson Co.). Results : The average age of the patients was 50 years old(17-81year). There were 33 males and 16 female patients. Patiensts with tuberculosis are 30cases(tuberculous pleurisy 15), lung cancer 12cases(malignant effusion 9) and pneumonia 7cases(parapneumonic effusion 6cases) In T lymphocyte subsets of pleural effusion, helper T lymphocyte(54.6 + 13.8 %) of tuberculous pleurisy was higher than that(36.2 + 25.3 %) of non-tuberculous pleurisy(p=0.04). The peripheral blood ${\gamma}{\delta}$ T-lymphocytes in tuberculousis was insignificantly higher than non-tuberculous patients(p= 0.24). The peripheral blood ${\gamma}{\delta}$ T-lymphocytes and pleural ${\gamma}{\delta}$ T-Iymphocytes in tuberculous pleurisy was insignificantly higher than in non-tuberculous pleurisy(p= 0.16, p= 0.12). Conclusion : The percentage of -${\gamma}{\delta}$ T lymphocytes among the total T-lymphocytes is not significantly increased in the peripheral blood or pleural effusion of the pleural tuberculosis. ${\gamma}{\delta}$ T lymphocytes is less useful as a diagnostic method of pleural tuberculosis.

GENERAL TYPES OF(∈,∈∨q_k)-FUZZY SUBSEMIGROUPS IN SEMIGROUPS

Kang, Jeong Gi The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.4

More general form of an (${\in},{\in}{\vee}q_k$)-fuzzy subsemigroup is considered. The notions of (${\in},q^{\delta}_k$)-fuzzy subsemigroup, ($q^{\delta}_0,{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup and (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup are introduced, and related properties are investigated. Characterizations of an (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup are considered. Conditions for an (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup to be a fuzzy subsemigroup are provided. Relations between ($q^{\delta}_0,{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup, (${\in},q^{\delta}_k$)-fuzzy subsemigroup and (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup are discussed.

골형성유도단백질의 첨가가 ${\Delta}^{12}-PGJ_2$가 유도하는 석회화에 미치는 영향

김원경,김경화,김종진,이영규,구영,Kim, Won-Kyung,Kim, Kyoung-Hwa,Kim, Jong-Jin,Lee, Young-Kyu,Ku, Young 대한치주과학회 2005 Journal of Periodontal & Implant Science Vol.35 No.2

Prostaglandin plays a significant role in the local control of bone metabolism associated with periodontal disease. ${\Delta}^{12}-PGJ_2$ is a natural $PGD_2$ metabolite that is formed in vivo in the presence of plasma. It is known for ${\Delta}^{12}-PGJ_2$ to stimulate calcification in osteoblastic cells. Bone morphogenetic protein(BMP) stimulated osteoblastic differentiation in various types of cells and greatly enhanced healing of bony defects. The purpose of this study was to evaluate the effect of rhEMP-2 on ${\Delta}^{12}-PGJ_2$ induced osteoblastic differentiation and mineralization in vitro. A human osteosarcoma cells line Saos-2 were cultured. In the test groups, 10-7M of ${\Delta}^{12}-PGJ_2$ or mixture of 10-8M of ${\Delta}^{12}-PGJ_2$ and 100ng/ml of rhBMP-2 or 100ng/ml of rhEMP-2 were added to culture media. After 1 day, 2 days and 4 days of culture period, the cell number was measured. Alkaline phosphatase activity was measure at 3 days. Reverse transcription polymerase chain reaction(RT-PCR) was performed to determine the expression of mRNA of bone matrix protein at 8 hours, 1 day and 7 days. The ability to produce mineralized nodules in rat osteoblasts(MC3T3-E1) was evaluated at 21 days. The results were as follows : 1. rhEMP-2 or mixture of rhBMP-2 and ${\Delta}^{12}-PGJ_2$ inhibited cell proliferation of human osteosarcoma cells. 2. rhEMP-2 or mixture of rhBMP-2 and ${\Delta}^{12}-PGJ_2$ stimulated alkaline phosphatase activity significantly higher than ${\Delta}^{12}-PGJ_2$ alone. 3. rhBMP-2 or mixture of rhEMP-2 and ${\Delta}^{12}-PGJ_2$ stimulated mineralization compared to ${\Delta}^{12}-PGJ_2$ alone. 4. mRNA of alkaline phosphatase, BMP-2, cbfa 1, Type I collagen were detected in the group treated with ${\Delta}^{12}-PGJ_2$/rhBMP-2, rhBMP-2 alone, ${\Delta}^{12}-PGJ_2$ alone. These results show that mixture of ${\Delta}^{12}-PGJ_2$ and rhBMP-2 causes more bone formation than ${\Delta}^{12}-PGJ_2$ alone while the bone formation effects of mixture of ${\Delta}^{12}-PGJ_2$ and rhBMP-2 are less than those of rhBMP-2 alone. Further researches would be necessary to clarify the interactions of these agents.

${\sum}-{\Delta}$ modulator의 구조를 갖는A/D 변환기 설계

윤정식,정정화 한국통신학회 2003 韓國通信學會論文誌 Vol.28 No.1C

본 논문에서는 2 Ms/s의 데이터 rate와 12-비트의 해상도를 갖는 Sigma-delta modulator의 구조를 제안한다. Sigma-delta modulator는 oversampling과 노이즈 shaping의 두 가지 특성으로 인해 낮은 해상도의 A/D 변환기와 결합하여 높은 해상도를 갖는 A/D 변환기의 구현이 가능하다는 장점으로 audio 응용 분야에 널리 사용되어 왔다. 그러나, Sigma-delta modulator를 무선 데이터 통신 등 다양한 응용 분야에서 사용하기 위해서는 좀더 높은 데이터 rate를 갖는 Sigma-delta modulator에 관한 연구가 필요하게 되었다. 본 논문에서 제안한 Sigma-delta modulator 구조는 기존의 64 내지 256의 oversampling비를 16으로 낮추어 sampling을 하여 기존의 수 십에서 수 백 Ks/s정도의 데이터 rate를 1 Ms/s 이상의 높은 데이터 rate에서 동작하도록 하였다. 그리고 두 개의 2차 Sigma-delta modulator를 Cascade 구조로 연결하고, 이득을 최적화하여 4차의 Sigma-delta modulator와 유사한 결과를 얻을 수 있었다. 내부에는 1-비트 A/D, D/A 변환기를 채용하여 부가적인 calibration 회로가 필요 없도록 하였다. This thesis proposes a sigma-delta modulator architecture with 2 Ms/s data rate and 12 bit resolution. A sigma-delta modulate has the features of oversampling and noise shaping. With these features, it can be connected with low resolution A/D converter to achieve higher resolution A/D converter. Most previous researches have been concentrated on high resolution but low data rate applications, e.g. audio applications. But, in order to be applied to various applications such as wireless data communication, researches on sigma-delta modulator architecture for higher data rate are required. The proposed sigma-delta modulator architecture has the sampling rate of 16 times Nyquist rate to achieve high data rate, and consists of a cascade of two 2nd order sigma-delta modulator to get relatively high resolution. The experimental result shows that the proposed architecture achieves 12-bit resolution at 2 Ms/s data rate.