Let R be a ring with an endomorphism a.We show that the clean property and various Armendariz-type properties of R are inherited by the skew matrix rings S(R,n,σ)and T(R,n,σ).They allow the construction of rings wit...Let R be a ring with an endomorphism a.We show that the clean property and various Armendariz-type properties of R are inherited by the skew matrix rings S(R,n,σ)and T(R,n,σ).They allow the construction of rings with a non-zero nilpotent ideal of arbitrary index of nilpotency which inherit various interesting properties of rings.展开更多
文摘Let R be a ring with an endomorphism a.We show that the clean property and various Armendariz-type properties of R are inherited by the skew matrix rings S(R,n,σ)and T(R,n,σ).They allow the construction of rings with a non-zero nilpotent ideal of arbitrary index of nilpotency which inherit various interesting properties of rings.
