Some Factorization Properties in A+B[Г^(*)]Domains  

作　　者：E.Boulayat S.El Baghdadi 

机构地区：[1]Department of Mathematics,Beni Mellal University FST,P.O.Box 523,Beni Mellal,Morocco

出　　处：《Algebra Colloquium》2020年第3期643-650,共8页代数集刊（英文版）

摘　　要：Let A■B be an extension of integral domains andГa commutative,additive,cancellative,torsion-free monoid with T∩-Г={0}.Let B[Г]be the semigroup ring ofГover B and setГ^(*)=Г\{0}.Then R=A+B[Г^(*)]is a subring of B[Г].We investigate various factorization properties which are weaker than unique factorization in the domainsof the form A+B[Г^(*)].

关 键 词：MONOID FACTORIZATION ATOMIC ACCP BFD 

分 类 号：O15[理学—数学]