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IMCS/Publications/QRS/Issues/QRS v.13, n.2 (14), 2005/

On graded weakly primary ideals

Authors: S. E. Atani

Abstract

Let G be an arbitrary monoid with identity e. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and studied in [1]. Here we study the graded weakly primary ideals of a G-graded commutative ring. Various properties of graded weakly primary ideals are considered. For example, we show that an intersection of a family of graded weakly primary ideals such that their homogeneous components are not primary is graded weakly primary.

S. E. Atani
Department of Mathematics
University of Guilan
P.O. Box 1914
Rasht
Iran
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