首页|Strongly Clean Matrix Rings over a Skew Monoid Ring
Strongly Clean Matrix Rings over a Skew Monoid Ring
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NETL
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维普
Let R be a ring with an endomorphism σ,FU {0} the free monoid generated by U={u1,...,ut} with 0 added,and M a factor of F obtained by setting certain monomials in F to 0 such that Mn=0 for some n.Then we can form the non-semiprime skew monoid ring R[M;σ].A local ring R is called bleached if for any j ∈ J(R)and any u ∈ U(R),the abelian group endomorphisms lu-rj and lj-ru of R are surjective.Using R[M;σ],we provide various classes of both bleached and non-bleached local rings.One of the main problems concerning strongly clean rings is to characterize the rings R for which the matrix ring Mn(R)is strongly clean.We investigate the strong cleanness of the full matrix rings over the skew monoid ring R[M;σ].
NETL
NSTL
万方数据
维普
