On endomorphisms of multiplication and comultiplication modules

H. Ansari-Toroghy and F. Farshadifar

Address: Department of Mathematics Faculty of Science, Guilan University P. O. Box 1914, Rasht, Iran

E-mail:
ansari@guilan.ac.ir
Farshadifar@guilan.ac.ir

Abstract: Let $R$ be a ring with an identity (not necessarily commutative) and let $M$ be a left $R$-module. This paper deals with multiplication and comultiplication left $R$-modules $M$ having right $\operatorname{End}_R(M)$-module structures.

AMSclassification: Primary: 13C99.

Keywords: endomorphisms, multiplication modules, comultiplication modules