形式三角矩阵环上的Gorenstein FP-内射模
杨银银， 张翠萍 - 《 山东大学学报(理学版)》, 2022 - lxbwk.njournal.sdu.edu.cn
设T=(A 0U B) 是形式三角矩阵环, 其中A, B 是环, U 是(B, A)-双模. 证明了若T 是左凝聚环, BU
是有限表示的且pd (BU)<∞, M=(M 1 M 2) φ M 是Gorenstein FP-内射左T-模, 则Ker φ M …
是有限表示的且pd (BU)<∞, M=(M 1 M 2) φ M 是Gorenstein FP-内射左T-模, 则Ker φ M …
Modules whose endomorphism rings have finite triangulating dimension and some applications
A Haghany, M Gurabi, MR Vedadi - Mediterranean Journal of Mathematics, 2013 - Springer
By defining orthogonal decomposition for modules, we prove that an R-module M has only
finitely many fully invariant direct summands if and only if End R (M) has triangulating …
finitely many fully invariant direct summands if and only if End R (M) has triangulating …
Morita-equivalent row-finite matrix rings are isomorphic
JJ Simón - Journal of Algebra, 1995 - Elsevier
Morita-Equivalent Row-Finite Matrix Rings Page 1 joURNAL OF ALGEBRA 173, 390–393 (1995)
Morita-Equivalent Row-Finite Matrix Rings Are lsomorphic JUAN JAcoBo SIMóN Đepartamento …
Morita-Equivalent Row-Finite Matrix Rings Are lsomorphic JUAN JAcoBo SIMóN Đepartamento …
Study of formal triangular matrix rings
A Haghany, K Varadarajan - Communications in Algebra, 1999 - Taylor & Francis
In this paper we carry out a systematic study of various ring theoretic properties of formal
triangular matrix rings. Some definitive results are obtained on these rings concerning …
triangular matrix rings. Some definitive results are obtained on these rings concerning …
[HTML][HTML] n-强-F-Ding 投射模
钟魁晨 - Pure Mathematics, 2021 - hanspub.org
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 …
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 …
Rings for which every cosingular module is projective
Y Talebi, ARM Hamzekolaee… - Hacettepe Journal of …, 2019 - dergipark.org.tr
Let $ R $ be a ring and $ M $ be an $ R $-module. In this paper we investigate modules $ M
$ such that every (simple) cosingular $ R $-module is $ M $-projective. We prove that every …
$ such that every (simple) cosingular $ R $-module is $ M $-projective. We prove that every …
M-投射模与M-投射维数
欧阳伦群 - 内蒙古师范大学学报: 自然科学汉文版, 2007 - cqvip.com
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[引用][C] Simple-direct modules over formal matrix rings
АН Абызов, ДТ Тапкин - Lobachevskii Journal of Mathematics, 2021
Generalized triangular matrix rings and the fully invariant extending property
GF Birkenmeier, JK Park, ST Rizvi - The Rocky Mountain journal of …, 2002 - JSTOR
A module M is called (strongly) F I-extending if every fully invariant submodule of M is
essential in a (fully invariant) direct summand of M. A ring R with unity is called quasi-Baer if …
essential in a (fully invariant) direct summand of M. A ring R with unity is called quasi-Baer if …