Many researchers discussed distributive modules and their properties. In this work, the
distributive property will be studied over semimodules. Some of the results obtained in …

Let R be a commutative ring with identity and let M be a torsion free R-module. Several
characterizations of distributive modules are investigated. Indeed, among other equivalent …

Publisher Summary This chapter discusses the distributive modules over the
noncommutative rings. All the rings are assumed to be associative and to have a nonzero …

CHARACTERIZATIONS OF GRADED DISTRIBUTIVE MODULES Page 1 Journal of Applied
Mathematics, Islamic Azad Universityof Lahijan Vol.S, No.I6, Spring 2008 Characterizations of …

On Graded Distributive Modules* Page 1 ISSN 0001-4346, Mathematical Notes, 2008, Vol. 83,
No. 4, pp. 485–491. c © Pleiades Publishing, Ltd., 2008. Published in Russian in …

(X+ Y)∩ Z=(X∩ Z)+(Y∩ Z) для всех градуированных подмодулей X, Y и Z модуля M
(равносильное условие:(X∩ Y)+ Z=(X+ Z)∩(Y+ Z) для всех градуированных подмодулей …