Rings which are sums of two subrings

DOI10.1016/S0022-4049(97)00191-6zbMath0929.16017OpenAlexW1986024693MaRDI QIDQ1295645

Edmund R. Puczylowski, Marek Kępczyk

Publication date: 18 January 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00191-6

zbMATH Keywords

radicalspolynomial identitiesprime radicaldescending absorbing chains of idealshyperannihilatorsJacobson radical subringsnil rings of bounded indexsimple nil ringssums of subrings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20) Identities other than those of matrices over commutative rings (16R40) Associative rings and algebras with additional structure (16W99) Field extensions (12F99)

Related Items

On the representation of fields as finite sums of proper subfields, A ring which is a sum of two PI subrings is always a PI ring, Note on algebras which are sums of two PI subalgebras, Rings which are sums of PI subrings, RINGS WHICH ARE SUMS OF TWO SUBRINGS SATISFYING POLYNOMIAL IDENTITIES, Note on rings which are sums of a subring and an additive subgroup

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