http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Various Row Invariants on Cohen-Macaulay Rings
Lee, Kisuk The Basic Science Institute Chosun University 2014 조선자연과학논문집 Vol.7 No.4
We define a numerical invariant $row^*_j(A)$ over Cohen-Macaulay local ring A, which is related to the presenting matrices of the j-th syzygy module (with or without free summands). We show that $row_d(A)$=$row_{CM}(A)$ and $row^*_d(A)$=$row^*_{CM}(A)$ for a Cohen-Macaulay local ring A of dimension d.
Various Row Invariants on Cohen-Macaulay Rings
이기석 조선대학교 기초과학연구원 2014 조선자연과학논문집 Vol.7 No.4
We define a numerical invariant rowi* (A) over Cohen-Macaulay local ring A , which is related to the presenting matrices of the j-th syzygy module (with or without free summands). We show that rowd (A)=row cm and rowd* (A) = row*cm(A) for aCohen-Macaulay local ring A of dimension d.
On the decomposition of extending lifting modules
장재훈,신종문 대한수학회 2009 대한수학회보 Vol.46 No.6
In 1984, Oshiro [11] has studied the decomposition of continuous lifting modules. He obtained the following: every continuous lifting module has an indecomposable decomposition. In this paper, we study extending lifting modules. We show that every extending lifting module has an indecomposable decomposition. This result is an expansion of Oshiro's result mentioned above. And we consider some application of this result. In 1984, Oshiro [11] has studied the decomposition of continuous lifting modules. He obtained the following: every continuous lifting module has an indecomposable decomposition. In this paper, we study extending lifting modules. We show that every extending lifting module has an indecomposable decomposition. This result is an expansion of Oshiro's result mentioned above. And we consider some application of this result.
ON THE DECOMPOSITION OF EXTENDING LIFTING MODULES
Chang, Chae-Hoon,Shin, Jong-Moon Korean Mathematical Society 2009 대한수학회보 Vol.46 No.6
In 1984, Oshiro [11] has studied the decomposition of continuous lifting modules. He obtained the following: every continuous lifting module has an indecomposable decomposition. In this paper, we study extending lifting modules. We show that every extending lifting module has an indecomposable decomposition. This result is an expansion of Oshiro's result mentioned above. And we consider some application of this result.