Structure theorem for prime rings satisfying a generalized identity

DOI10.1080/00927879408824932zbMath0810.16018OpenAlexW2107242219MaRDI QIDQ4288220

Esperanza Sánchez Campos, Eulalia García Rus, Antonio Fernández López

Publication date: 17 April 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824932

zbMATH Keywords

idempotentinvolutionlocal ordersocleprime ringgeneralized polynomial identitysemiprime ringuniform dimensionclassical ordersymmetric ring of quotientssquare cancellable element

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (4)

Towards a Goldie theory for Jordan pairs ⋮ Additive maps on prime and semiprime rings with involution ⋮ Goldie theorems for associative pairs ⋮ Maximal orders in semigroups¹

Cites Work

• A new approach to orders in simple rings with minimal one-sided ideals
• Computing the symmetric ring of quotients
• The Zelmanov approach to Jordan homomorphisms of associative algebras
• Generalized identities and semiprime rings with involution
• A structure theorem and a positive-definiteness condition in rings with involution
• Prime rings satisfying a generalized polynomial identity
• Orders in regular rings with minimal condition for principal right ideals
• Left orders in regular rings with minimum condition for principal one-sided ideals
• Strong regularity and generalized inverses in jordan systems
• Orders in primitive rings with non-zero socle and posner's theorem
• Orders in rings without identity
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