Exchange Ideals with All Idempotents Central

DOI10.1142/S1005386713000618zbMath1292.16008MaRDI QIDQ2862501

Huanyin Chen

Publication date: 15 November 2013

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

zbMATH Keywords

unitscentral idempotentsexchange ringsexchange idealsAbelian idealsuniquely clean ideals

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Ideals in associative algebras (16D25) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Group rings in which every element is uniquely the sum of a unit and an idempotent.
• Strongly clean matrix rings over local rings.
• A CLASS OF EXCHANGE RINGS
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• K₀of Exchange Rings with All Idempotents Central
• ON THE MAXIMALITY OE PRIME IDEALS IN EXCHANGE RINGS

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