Skew Incidence Rings and the Isomorphism Problem  

作　　者：Érica Z.Fornaroli 

机构地区：[1]Departamento de Matemática,Universidade Estadual de Maringá Maringá-PR,CEP:87020-900,Brazil

出　　处：《Algebra Colloquium》2022年第3期419-426,共8页代数集刊（英文版）

摘　　要：Let X be a finite partially ordered set,R an associative unital ring andσan endomorphism of R.We describe some properties of the skew incidence ring I(X,R,σ)such as invertible elements,idempotents,the Jacobson radical and the center.Moreover,if two skew incidence rings I(X,R,σ)and I(Y,S,τ)are isomorphic and the only idempotents of R and S are the trivial ones,we show that the partially ordered sets X and Y are isomorphic.

关 键 词：units IDEMPOTENTS Jacobson radical CENTER ISOMORPHISMS 

分 类 号：O15[理学—数学]