Let R be a ring with an endomorphism \sigma. We introduce the notion of \sigma-J-rigid rings as a generalization of \sigma-rigid rings, and investigate its properties. It is proved that a ring R is \sigma-J-rigid if and only if R[[x;\sigma]] is \bar\sigma-J-rigid, while the \sigma-J-rigid property is not Morita invariant. Moreover, we prove that every ring isomorphism preserves J-rigid structure, and several known results are extended.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Publication Date | December 8, 2019 |
Published in Issue | Year 2019 |