Distinguished elements in semiring extensions
type: Item
instance of: scholarly article
title: Distinguished elements in semiring extensions
author: Peyman Nasehpour
published in: Journal of Algebra and its Applications
publication date: 2025-01-22T00:00:00Z
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 12K10
Mathematics Subject Classification ID: 13A15
zbMATH DE Number: 7973175
zbMATH Keywords: semiring extensions
zbMATH Keywords: amount semialgebras
zbMATH Keywords: zero-divisors
zbMATH Keywords: idempotents
zbMATH Keywords: irreducible elements
MaRDI profile type: Publication
cites work: Q4978609
cites work: Q3618501
cites work: A note on extensions of Baer and P. P. -rings
cites work: The Jacobson Radical of a Semiring
cites work: Infinite prime avoidance
cites work: The McCoy property in Ohm-Rush algebras
cites work: A Dedekind-Mertens theorem for power series rings
cites work: On Primal Ideals
cites work: Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates
cites work: Q3681045
cites work: Q4067195
cites work: Q4449426
cites work: Q4699467
cites work: Q4700998
cites work: Q4433737
cites work: Q4039904
cites work: Idempotents in ring extensions.
cites work: Q4049183
cites work: Q3992979
cites work: Remarks on Divisors of Zero
cites work: Q5598318
cites work: Characterizations of \(k\)-potent elements in rings.
cites work: Zero-Divisors of Content Algebras
cites work: Zero-divisors of Semigroup Modules
cites work: On the Anderson-Badawi \(\omega_{R[X]}(I[X])=\omega_R(I)\) conjecture.
cites work: On the content of polynomials over semirings and its applications
cites work: Auslander modules
cites work: Pseudocomplementation and minimal prime ideals in semirings
cites work: Valuation semirings
cites work: Some remarks on semirings and their ideals
cites work: On zero-divisors of semimodules and semialgebras
cites work: Amount algebras
cites work: Modules Having Very Few Zero-Divisors
cites work: Q3287307
cites work: Q5829838
cites work: Dedekind-Mertens lemma and content formulas in power series rings
cites work: Armendariz rings
cites work: Content Algebras
cites work: A Covering Condition for Prime Ideals
cites work: Q4271993
cites work: Q3249822
DOI: 10.1142/S0219498825500719
description: scientific article; zbMATH DE number 7973175