Multiplication modules and related results

Shahabaddin Ebrahimi Atani

 Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, Iran


Let $R$ be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm's properties for submodules of a finitely generated faithful multiplication $R$-module (see [8], [12] and [3]).

AMSclassification. 13C05, 13C13, 13A15.

Keywords.  Multiplication module, secondary module, Ohm's properties.