S-primary ideals of a commutative ring

DOI10.1080/00927872.2021.1977939zbMath1481.13007OpenAlexW3199952063MaRDI QIDQ5037585

Essebti Massaoud

Publication date: 1 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1977939

zbMATH Keywords

primary idealamalgamated algebra\(S\)-primary ideal\(S\)-prime ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Morphisms of commutative rings (13B10) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Rings of fractions and localization for commutative rings (13B30)

Related Items

Generalizations of graded S-primary ideals, \(S\)-prime ideals, \(S\)-Noetherian noncommutative rings, and the \(S\)-Cohen's theorem

Cites Work

• \(S\)-prime ideals of a commutative ring
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
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