Orders in primitive rings with non-zero socle and posner's theorem

DOI10.1080/00927879608825567zbMath0845.16006OpenAlexW2045502471MaRDI QIDQ4868180

Ánh, Phạm Ngọc, László Márki

Publication date: 11 September 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825567

zbMATH Keywords

prime ringsGoldie dimensiongeneralized polynomial identitiesleft ordersprimitive ringsleft Ore domainsuniform left ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (7)

Local orders in Jordan algebras ⋮ Left Quotient Associative Pairs and Morita Invariant Properties ⋮ Structure theorem for prime rings satisfying a generalized identity ⋮ Local Lesieur-Croisot theory of Jordan algebras ⋮ Fountain-Gould left orders for associative pairs. ⋮ Goldie theorems for associative pairs ⋮ Ordering Orders and Quotient Rings

Cites Work

• Rings of quotients and Morita contexts
• The Structure of Prime Rings Under Ascending Chain Conditions
• Orders in regular rings with minimal condition for principal right ideals
• Left orders in regular rings with minimum condition for principal one-sided ideals
• Orders in rings without identity

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