Some Factorization Properties in A+B[Γ*] Domains

• 作者: B.Boulayat S.El Baghdadi
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 643-650
• 页数: 8页
• 语种: 英文
• DOI: 10.1142/S1005386720000528

摘要

Let A (C) B be an extension of integral domains and Γ a commutative,additive,cancellative,torsion-free monoid with Γ ∩-Γ ={0}.Let B[Γ]be the semigroup ring of Γ over B and set Γ* =Γ\{0}.Then R =A + B[Γ*]is a subring of B[Γ].We investigate various factorization properties which are weaker than unique factorization in the domains of the form A + B[Γ*].