In this note all rings are associative with identity elements and all modules are unital right
modules. Let I? be a ring and M a right R-module. Denote the socle and radical of M by Soc …

Let M be a left R-module. In this paper a generalization of the notion of an s-system of rings
to modules is given. Let N be a submodule of M. Define S(N):={m∈M:\,everys …

arXiv:2311.04104v1 [math.AC] 7 Nov 2023 Page 1 A COUNTEREXAMPLE TO THE HERMITE
RING CONJECTURE DANIEL SCHÄPPI Abstract. We show that there exists a stably free …

PRIME SUBMODULES OF ARTINIAN MODULES Page 1 TAIWANESE JOURNAL OF
MATHEMATICS Vol. 13, No. 6B, pp. 2011-2020, December 2009 This paper is available online at …

Let S be a finite normalizing extension of a ring R. If M is an S module, then M has finite
uniform dimension if and only if it has finite uniform dimension when considered as an R …

Let $ R $ be a commutative ring with identity and $ M $ be a unital $ R $-module. A proper
submodule $ N $ of $ M $ with $ N: _RM=\frak p $ is said to be prime or $\frak p $-prime …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

This paper contains new and known results on modules in which submodules are close to
direct summands. The main results are presented with proofs. All rings are assumed to be …

Full article: Generalization of Nilpotency of Ring Elements to Module Elements Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

A module is called nilpotent-invariant if it is invariant under any nilpotent endomorphism of
its injective envelope [MT Koşan and TC Quynh, Nilpotent-invaraint modules and rings …