Primality in Semigroup Rings

DOI10.1007/978-3-030-40822-0_3zbMath1460.13004OpenAlexW3025441577MaRDI QIDQ5115888

Brahim Boulayat, Saïd El Baghdadi

Publication date: 21 August 2020

Published in: Numerical Semigroups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-40822-0_3

zbMATH Keywords

primalmonoidSchreier domainpre-Schreier domaincompletely primal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11) Rings of fractions and localization for commutative rings (13B30) Semigroups (20Mxx)

Related Items

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

Cites Work

• 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]
• Quasi-Schreier Domains II
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