单边Gorenstein 复形

李彦洁 - Pure Mathematics, 2021 - hanspub.org
设W 是一个关于扩张封闭的自正交左R-模类. 引入了右(左) W-Gorenstein 复形的概念,
证明了复形M 是右(左) W-Gorenstein 复形当且仅当对任意的n∈ ℤ, Mn 是右(左) W-Gorenstein …

X-Gorenstein projective and Y-Gorenstein injective modules

F Meng, Q Pan - Hacettepe Journal of Mathematics and Statistics, 2011 - dergipark.org.tr
Let X be a class of right R-modules that contains all projective right R-modules. The notion of
X-Gorenstein projective modules was introduced by D. Bennis and K. Ouarghi (X-Gorenstein …

[HTML][HTML] 弱Gorenstein X-投(内) 射模

武新文 - Pure Mathematics, 2022 - hanspub.org
引入弱Gorenstein X-投(内) 射模, 讨论其基本同调性质, 证明在任意环R 上, 若lD (R)≤ 1,
则Gorenstein X-投(内) 射模类, 弱Gorenstein X-投(内) 射模类, Gorenstein 投(内) …

Foxby equivalences associated to strongly Gorenstein modules

W Zhang, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …

Y-Gorenstein 内射模和Frobenius 双模

王小妹 - Pure Mathematics, 2021 - hanspub.org
本文主要研究Y-Gorenstein 内射模和Frobenius 双模之间的关系. 设环R 和S
都是有单位元的结合环, SMR 是Frobenius 双模且MR 是生成子. 证明了(1) R op-模X 是Y …

Gorenstein FI-内射复形的性质

原雪娟 - Pure Mathematics, 2022 - hanspub.org
本文将Gorenstein FI-内射模推广到复形范畴. 首先引入Gorenstein FI-内射复形的概念.
其次研究Gorenstein FI-内射复形的一些性质. 最后证明复形X 是Gorenstein FI-内射复形 …

-Gorenstein projective,-Gorenstein injective and-Gorenstein flat modules

Z Zhang, X Zhu, X Yan - Chinese Annals of Mathematics, Series B, 2014 - Springer
The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …

[HTML][HTML] 强n-Gorenstein FC-投射模

杨富霞, 张翠萍 - Pure Mathematics, 2020 - hanspub.org
引入了强n-Gorenstein FC-投射模, 给出了强n-Gorenstein FC-投射模的一些性质,
证明了对任意模M 和非负整数n, R-模M 的Gorenstein FC-投射维数不超过n 当且仅当M 是强n …

[HTML][HTML] 投射余可解的Gorenstein 平坦模和Gorenstein AC 投射模

刘欢, 杨晓燕 - Pure Mathematics, 2021 - hanspub.org
本文我们给出了Gorenstein AC 投射模的类与投射余可解的Gorenstein 平坦模的类等价的条件,
证明了在凝聚环R 上, Gorenstein AC 投射模的类, 投射余可解的Gorenstein 平坦模的类与Ding …

W-Gorenstein modules

Y Geng, N Ding - Journal of Algebra, 2011 - Elsevier
Let W be a self-orthogonal class of left R-modules. We introduce and study W-Gorenstein
modules as a common generalization of some known modules such as Gorenstein …