The structure of rings of quotients.

DOI10.1016/j.jalgebra.2009.02.013zbMath1205.16024OpenAlexW1986534647MaRDI QIDQ1028306

S. Tariq Rizvi, Jae Keol Park, Gary F. Birkenmeier

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.02.013

zbMATH Keywords

direct sumsdirect productssemiprime ringscentral idempotents\(C^*\)-algebrasprime ringsmaximal quotient ringsJohnson dimension

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals in associative algebras (16D25) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Decomposition theory for (C^*)-algebras (46L45) Associative rings of fractions and localizations (16S85)

Related Items (9)

Quasi-Baer and biregular generalized matrix rings ⋮ THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL ⋮ Quasi-Baer module hulls and applications ⋮ Hulls of semiprime rings with applications to \(C^*\)-algebras. ⋮ FI-extending generalized matrix rings ⋮ Ideal intrinsic extensions with connections to PI-rings. ⋮ Essential extensions with the -extending property ⋮ When is a Sum of Annihilator Ideals an Annihilator Ideal? ⋮ COMPLEMENTEDLY DENSE IDEALS: DECOMPOSABLE ALGEBRAS

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