On rings with finitely many regular elements

DOI10.1007/s13366-017-0335-9zbMath1412.16031OpenAlexW2594110041MaRDI QIDQ1702748

Howard E. Bell

Publication date: 28 February 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0335-9

zbMATH Keywords

regular elementsperiodic ringsfinite ringsfiniteness theorems

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Conditions on elements (16U99)

Cites Work

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• Some conditions for finiteness of a ring
• Infinite subrings of infinite rings and near-rings
• A commutativity study for periodic rings
• Rings with a finite set of nonnilpotents
• Properties of rings with a finite number of zero divisors
• Subrings of finite index in finitely generated rings
• Properties of rings with a finite number of zero divisors. II
• Rings of Zero-Divisors
• Rings with finitely many nilpotent elements
• On the Finiteness of Noetherian Rings with Finitely Many Regular Elements
• On a Theorem of Herstein
• A note on rings with central nilpotent elements

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