1994
DOI: 10.1007/bf01875854
|View full text |Cite
|
Sign up to set email alerts
|

On the ring of endomorphisms of a multiplication module

Abstract: Let R be a commutative ring with 1, and M is an R-module. Let E(M) = S be the ring of endomorphisms of M. It is known that if M is a multiplication module, then E(M) is commutative [6], and if M is a finitely generated multiplication module, then E(M) is isomorphic to R/ann (M), [4]. In this paper we give further results about E(M) for M a multiplication module.Let us call an endomorphism f of a module M a diagonal endomorphism if for all a E M, 3r E R, r depends on a, such that f(a) = ra. In Sec. 1 of this pa… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

1995
1995
2022
2022

Publication Types

Select...
4

Relationship

0
4

Authors

Journals

citations
Cited by 4 publications
(2 citation statements)
references
References 8 publications
0
2
0
Order By: Relevance
“…In [5] an example of a multiplication R-module M is given with R=0 : M = End R M. We end by illustrating this example.…”
Section: Reprintsmentioning
confidence: 99%
See 1 more Smart Citation
“…In [5] an example of a multiplication R-module M is given with R=0 : M = End R M. We end by illustrating this example.…”
Section: Reprintsmentioning
confidence: 99%
“…Then End R M, the ring of R-endomorphisms of M, is a commutative ring with R=0 : M naturally embedded as a subring. Now for M ®nitely generated, R=0 : M End R M, but in general we may have R=0 : M = End R M (see [5] ). In Sec.…”
Section: Introductionmentioning
confidence: 98%