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