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Let R be a ring with an endomorphism . We introduce the notion of -J-rigid rings as a generalization of -rigid rings, and investigate its properties. It is proved that… Click to show full abstract
Let R be a ring with an endomorphism . We introduce the notion of -J-rigid rings as a generalization of -rigid rings, and investigate its properties. It is proved that a ring R is -J-rigid if and only if R[[x; ]] is ¯-J-rigid, while the -J-rigid property is not Morita invariant. Moreover, we prove that every ring isomorphism preserves J-rigid structure, and several known results are extended.
Keywords:
rigid rings
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!