We say that a ring R is a right RDV-ring if each simple right R-module is RD-injective. In this
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …

We recall that a study of rings with projective left socle and containing no infinite sets of
orthogonal idenlpotents was make by Gordon [7]. In the same paper he showed that S= SOC …

In this work, impecunious modules are introduced as modules whose injectivity domains are
contained in the class of all pure-split modules. This notion gives a generalization of both …

ON RINGS WHOSE SIMPLE MODULES ARE FLAT Page 1 Canad. Math. Bull. Vol. 37 (3),
1994 pp. 361-364 ON RINGS WHOSE SIMPLE MODULES ARE FLAT YASUYUKIHIRANO …

设R 是一个Gorenstein 环. 证明了, 如果I 是R 的一个理想且使得R/I 是一个半单环, 则R/I
作为右R-模的Gorenstein 平坦维数与R/I 作为左R-模的Gorenstein 内射维数是相等的 …

Throughout this paper rings are associative rings with identity, ring extensions share the
same identity, and modules are unitary. We shall consider the following three questions that …

It is known that for a simple module S over a commutative ring R, fd R (S)= id R (S). Let RT
be commutative rings and R→ T a ring homomorphism, if T is a Noetherian ring and self …

The main theorem of the paper" Flatness and Injectivity of Simple Modules over a
Commutative Ring" by Xu Jinzhong which appeared in Communications in Algebra 19 (2) …

Sandomierski FL, Small L W., 和Fields KL [1-3] 在" 幂零” 条件下研究了环与约化环的同调维数.
然而对一些环(如交换Von Neumann 正则环)," 幂零” 的条件是不成立的. 因此 …

Let R be a Gorenstein ring. We prove that if I is an ideal of R such that R/I is a semi-simple
ring, then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein …