Some results about weakly S-primary ideals of a commutative ring

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Essebti Massaoud
Badreddine Gouaid

Abstract

Let R be a commutative ring with identity and SR a multiplicative subset. We define a proper ideal P of R disjoint from S to be weakly S-primary if there exists an sS such that for all a, bR if 0abP then saP or sb ∈ √P. We show that weakly S-primary ideals enjoy analogs of many properties of weakly primary ideals and we study the form of weakly S-primary ideals of the amalgamation of A with B along an ideal J with respect to f (denoted by AfJ). Weakly S-primary ideals of the trivial ring extension are also characterized.

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How to Cite
Massaoud, E., & Gouaid, B. (2022). Some results about weakly S-primary ideals of a commutative ring. Gulf Journal of Mathematics, 13(1), 88-100. Retrieved from https://gjom.org/index.php/gjom/article/view/928
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