Flat modules and rings finitely generated as modules over their center

DOI10.1007/BF02305182zbMath0899.16001MaRDI QIDQ1387318

Askar A. Tuganbaev

Publication date: 15 November 1998

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finitely generated modulesflat modulesrings of quotientssemihereditary ordersprime quotient ringsdistributivity of ringsfinite direct products of skew fieldsright distributive semiprime rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) 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) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (6)

Endomorphism rings, power series rings, and serial modules ⋮ Arithmetical rings ⋮ Bezout rings without non-central idempotents ⋮ Semidistributive modules ⋮ Distributive semigroup rings and related topics ⋮ Distributive modules and rings and their close analogs

Cites Work

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• Left and right distributive rings
• Lectures on topics in algebraic \(K\)-theory
• A Remark on Arithmetical Rings

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