On n-semiprimary ideals and n-pseudo valuation domains

Let R be a commutative ring with 1 ≠ 0 and n a positive integer. A proper ideal I of R is an n-semiprimary ideal of R if whenever x^n y^n ∈ I for x, y ∈ R, then x^n ∈ I or y^n ∈ I. Let R be an integral domain with quotient field K. A proper ideal I of R is an n-powerful ideal of R if whenever x^n y^...

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Bibliographic Details
Main Author: Anderson, David F. (author)
Other Authors: Badawi, Ayman (author)
Format: article
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/11073/25071
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