On endomorphisms of multiplication and comultiplication modules

summary: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

On the prime spectrum of top modules

In this paper we investigate some properties of top modules and consider some conditions under which the spectrum of a top module is a spectral space