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Abstract In this work, we show that a two-sided mod-retractable and strongly π-regular ring is two-sided semiartinian. On the other hand, a strongly π-regular von Neumann regular ring is left… Click to show full abstract
Abstract In this work, we show that a two-sided mod-retractable and strongly π-regular ring is two-sided semiartinian. On the other hand, a strongly π-regular von Neumann regular ring is left mod-retractable if and only if it is a left semiartinian V-ring. We apply these results to group algebras and thereby we give the complete structure of groups whose group algebras are mod-retractable. Communicated by Toma Albu
Keywords:
retractable strongly;
group algebras;
strongly regular;
algebras mod;
mod retractable
Journal Title: Communications in Algebra
Year Published: 2020
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!