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http://dx.doi.org/10.4134/JKMS.2011.48.5.927

GRADED PRIMAL SUBMODULES OF GRADED MODULES  

Darani, Ahmad Yousefian (Department of Mathematics University of Mohaghegh Ardabili)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 927-938 More about this Journal
Abstract
Let G be an abelian monoid with identity e. Let R be a G-graded commutative ring, and M a graded R-module. In this paper we first introduce the concept of graded primal submodules of M an give some basic results concerning this class of submodules. Then we characterize the graded primal ideals of the idealization R(+)M.
Keywords
graded primary submodule; graded prime submodule; graded primal submodule;
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