On Graded S -Primary Ideals

Azzh Saad Alshehry
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Azzh Saad Alshehry: Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Mathematics, 2021, vol. 9, issue 20, 1-8

Abstract: Let R be a commutative graded ring with unity, S be a multiplicative subset of homogeneous elements of R and P be a graded ideal of R such that P ? S = ? . In this article, we introduce the concept of graded S -primary ideals which is a generalization of graded primary ideals. We say that P is a graded S -primary ideal of R if there exists s ? S such that for all x , y ? h ( R ) , if x y ? P , then s x ? P or s y ? G r a d ( P ) (the graded radical of P ). We investigate some basic properties of graded S -primary ideals.

Keywords: graded prime ideals; graded primary ideals; graded S -prime ideals; graded S -primary ideals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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