We present and study the concept of m-periodic Gorenstein objects relative to a pair (A, B) of
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …

We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …

This paper generalize the idea of the authors in [3]. Namely, we define and study a particular
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …

In this paper, we investigate 2-SG-semisimple rings which are a particular kind of quasi-
Frobenius rings over which all modules are periodic of period~ 2. Namely, we show that …

引入n-强-F-Ding 投射模, 给出n-强-F-Ding 投射模的等价刻画和基本性质, 证明了一个模M 是n-
强-F-Ding 投射模当且仅当M 同构于某个n-强-F-Ding 投射模与投射模的直和. Abstract: In this …

In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any
ring, the class of SG-projective modules and the class of G-projective modules coincide if …

Let n⩾ 1 and k⩾ 0 be fixed integers and R be a ring. We show that R is (n, k)-SG with G‐
gldim (R)= k if and only if R [x 1, x 2,…, xm] is (n, k+ m)-SG with G‐gldim (R [x 1, x 2,…, xm]) …

设n 是正整数, 本文引入并研究n-强Gorenstein FP-内射模. 对于正整数n> m, 给出例子说明n-
强GorensteinFP-内射模未必是, n-强GorensteinFP-内射的, 并讨论n-强G0rensteinFP …

广义强丁投射模(英文)-[维普官方网站]-www.cqvip.com-维普网  我的维普 购物车 充值 客服 首页
| 期刊大全 | 文献分类 | 优先出版 | 论文检测 | 论文选题 | 在线分享 | 会议平台 | 学术机构 您的位置 …

In this note, we prove that an Artinian local ring is G-semisimple (resp., SG-semisimple, 2-SG-
semisimple) if and only if its maximal ideal is G-projective (resp., SG-projective, 2-SG …