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We determine some classes of left modules satisfying the radical formula in a noncommutative ring. We also show that, under a certain condition, a finitely generated module over an HNP… Click to show full abstract
We determine some classes of left modules satisfying the radical formula in a noncommutative ring. We also show that, under a certain condition, a finitely generated module over an HNP -ring (a generalization of the Dedekind domain) both satisfies the radical formula and can be decomposed into a direct sum of torsion and extending modules.
Keywords:
formula noncommutative;
noncommutative rings;
radical formula;
formula
Journal Title: Ukrainian Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Ukrainian Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!