Identities of sums of commutative subalgebras

DOI10.1007/BF02844841zbMath0829.16014OpenAlexW2008460602MaRDI QIDQ1891452

Antonio Giambruno, Yu. A. Bakhturin

Publication date: 10 August 1995

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844841

zbMATH Keywords

polynomial identitiesvarieties of associative ringssums of commutative 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) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) 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)

Related Items

Identities of sum of two PI-algebras in the case of positive characteristic, On the representation of fields as finite sums of proper subfields, Universal sums of abelian subalgebras, A ring which is a sum of two PI subrings is always a PI ring, On rings which are sums of subrings and additive subgroups, Note on algebras which are sums of two PI subalgebras, On sums of \textit{gr}-PI algebras, Rings which are sums of PI subrings, AN ANALOGUE OF KEGEL'S THEOREM FOR QUASI-ASSOCIATIVE ALGEBRAS, On the generalized Lie structure of associative algebras, RINGS WHICH ARE SUMS OF TWO SUBRINGS SATISFYING POLYNOMIAL IDENTITIES, Note on rings which are sums of a subring and an additive subgroup, Rings which are sums of two subrings

Cites Work

• Zur Nilpotenz gewisser assoziativer Ringe
• Triangular products of group representations and their applications
• Über das Produkt von zwei abelschen Gruppen
• A Matrix Representation for Associative Algebras. I
• Universal sums of abelian subalgebras
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