Multiplicative Sets of Primitive Idempotents and Primitive Ideals

DOI10.1080/00927872.2014.944264zbMath1346.16036OpenAlexW2172727817MaRDI QIDQ2802170

Edward Poon, Yasuyuki Hirano, Manabu Matsuoka, Hisaya Tsutsui

Publication date: 25 April 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.944264

zbMATH Keywords

primitive idempotentscentral idempotentsprimitive idealsvon Neumann regular ringsidempotent idealsmultiplicative sets of idempotents

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Conditions on elements (16U99) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• Multiplicative sets of idempotents in a finite ring.
• On the primitivity of prime rings
• MULTIPLICATIVE SET OF IDEMPOTENTS IN A SEMIPERFECT RING
• Rings with Multiplicative Sets of Primitive Idempotents
• Fully prime rings
• Fully prime rings. II

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