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RISS 인기검색어
- 검색키워드
- 저자 : Ramazan Yasar (검색결과 3 건)
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Goldie extending property on the class of $z$-closed submodules
Adnan Tercan,Ramazan Yasar,Canan Celep Yucel 대한수학회 2022 대한수학회보 Vol.59 No.2
In this article, we define a module $M$ to be $G^{\, z}$-extending if and only if for each $z$-closed submodule $X$ of $M$ there exists a direct summand $D$ of $M$ such that $X\cap D$ is essential in both $X$ and $D$. We investigate structural properties of $G^{\, z}$-extending modules and locate the implications between the other extending properties. We deal with decomposition theory as well as ring and module extensions for $G^{\, z}$-extending modules. We obtain that if a ring is right $G^{\, z}$-extending, then so is its essential overring. Also it is shown that the $G^{\, z}$-extending property is inherited by its rational hull. Furthermore it is provided some applications including matrix rings over a right $G^{\, z}$-extending ring.
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Weak F I-extending Modules with ACC or DCC on Essential Submodules
Tercan, Adnan,Yasar, Ramazan Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.2
In this paper we study modules with the W F I<sup>+</sup>-extending property. We prove that if M satisfies the W F I<sup>+</sup>-extending, pseudo duo properties and M/(Soc M) has finite uniform dimension then M decompose into a direct sum of a semisimple submodule and a submodule of finite uniform dimension. In particular, if M satisfies the W F I<sup>+</sup>-extending, pseudo duo properties and ascending chain (respectively, descending chain) condition on essential submodules then M = M<sub>1</sub> ⊕ M<sub>2</sub> for some semisimple submodule M<sub>1</sub> and Noetherian (respectively, Artinian) submodule M<sub>2</sub>. Moreover, we show that if M is a W F I-extending module with pseudo duo, C<sub>2</sub> and essential socle then the quotient ring of its endomorphism ring with Jacobson radical is a (von Neumann) regular ring. We provide several examples which illustrate our results.
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Igde, Murat,Ozturk, Mehmet Onur,Yasar, Burak,Bulam, Mehmet Hakan,Ergani, Hasan Murat,Unlu, Ramazan Erkin Korean Society of Plastic and Reconstructive Surge 2019 Archives of Plastic Surgery Vol.46 No.3
Background Microvascular anastomosis patency is adversely affected by local and systemic factors. Impaired intimal recovery and endothelial mechanisms promoting thrombus formation at the anastomotic site are common etiological factors of reduced anastomosis patency. Epigallocatechin gallate (EGCG) is a catechin derivative belonging to the flavonoid subgroup and is present in green tea (Camellia sinensis). This study investigated the effects of EGCG on the structure of vessel tips used in microvascular anastomoses and evaluated its effects on thrombus formation at an anastomotic site. Methods Thirty-six adult male Wistar albino rats were used in the study. The right femoral artery was cut and reanastomosed. The rats were divided into two groups (18 per group) and were systemically administered either EGCG or saline. Each group were then subdivided into three groups, each with six rats. Axial histological sections were taken from segments 1 cm proximal and 1 cm distal to the microvascular anastomosis site on days 5, 10, and 14. Results Thrombus formation was significantly different between the EGCG and control groups on day 5 (P=0.015) but not on days 10 or 14. The mean luminal diameter was significantly greater in the EGCG group on days 5 (P=0.002), 10 (P=0.026), and 14 (P=0.002). Intimal thickening was significantly higher on days 5 (P=0.041) and 10 (P=0.02). Conclusions EGCG showed vasodilatory effects and led to reduced early thrombus formation after microvascular repair. Similar studies on venous anastomoses and random or axial pedunculated skin flaps would also contribute valuable findings relevant to this topic.
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