Generalized polynomial identities and rings which are sums of two subrings

DOI10.1007/BF00750549zbMath0846.16016OpenAlexW1971330172MaRDI QIDQ1910284

Alexander V. Mikhalev, Kostia I. Beidar

Publication date: 14 May 1996

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00750549

zbMATH Keywords

matrix algebraspolynomial identitygeneralized polynomial identitiesstandard identitynonmatrix identitysum of commutative subringssum of two PI-subringssum of two subalgebras

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) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40)

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Cites Work

• A sum of two locally nilpotent rings may be not nil
• Zur Nilpotenz gewisser assoziativer Ringe
• On rings which are sums of two subrings
• Lie isomorphisms in prime rings with involution
• Prime rings satisfying a generalized polynomial identity
• On radicals of semigroup rings
• A characterization of the centre of a nondegenerate jordan algebra
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