The Schreier property and the composite semigroup ring A + B[Γ*]

DOI10.1142/S0219498823500913OpenAlexW4210496085MaRDI QIDQ5882591

Brahim Boulayat, Lahoucine Izelgue, Saïd El Baghdadi

Publication date: 17 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500913

zbMATH Keywords

primalSchreier domainmonoid domainpre-Schreier domaincompletely primalcomposite semigroup ring

Mathematics Subject Classification ID

Commutative semigroups (20M14) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility and factorizations in commutative rings (13A05)

Cites Work

• Chain conditions in special pullbacks
• The \(D + E[\varGamma^*\) construction from Prüfer domains and GCD-domains]
• Prüfer \(v\)-multiplication domains and related domains of the form \(D+D_S[\varGamma ^{*}\)]
• Divisorial ideals and invertible ideals in a graded integral domain
• When graded domains are Schreier or pre-Schreier
• On a property of pre-schreier domains
• Divisibility Properties of Graded Domains
• Schreier Rings
• Some factorization properties of composite domains a+xb[x and a+xbx]
• Primality in Semigroup Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Schreier property and the composite semigroup ring A + B[Γ*]