Orders in semiprime rings with minimal condition for principal right ideals

DOI10.1017/S0308210500027979zbMath0774.16004MaRDI QIDQ4030487

Victoria Gould, J. B. Fountain

Publication date: 1 April 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

ring of quotientsminimal conditionGoldie's theoremorders in semiprime ringsprincipal one-sided ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

A new approach to orders in simple rings with minimal one-sided ideals ⋮ Orders in rings without identity ⋮ Maximal orders in semigroups¹

Cites Work

• A new approach to orders in simple rings with minimal one-sided ideals
• Orders in regular rings with minimal condition for principal right ideals
• Orders in rings without identity
• Unnamed Item
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