We study the reversibility of skew Hurwitz series at zero as a generalization of an \alpha-rigid ring, introducing the concept of skew Hurwitz reversibility. A ring R is called skew Hurwitz reversible (SH-reversible, for short), if the skew Hurwitz series ring (HR,\alpha) is reversible i.e. whenever skew Hurwitz series f, g\in (HR,\alpha) satisfy fg=0, then gf=0. We examine some characterizations and extensions of SH-reversible rings in relation with several ring theoretic properties which have roles in ring theory.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Publication Date | December 8, 2020 |
Published in Issue | Year 2020 Volume: 49 Issue: 6 |