RINGS WHICH ARE SUMS OF TWO SUBRINGS SATISFYING POLYNOMIAL IDENTITIES

DOI10.1081/AGB-100002168zbMath0993.16017OpenAlexW2034406986MaRDI QIDQ2755369

Edmund R. Puczylowski, Marek Kępczyk

Publication date: 4 June 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100002168

zbMATH Keywords

nil ringssemiprime ringsPI ringssums of subrings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Identities other than those of matrices over commutative rings (16R40)

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, On sums of \textit{gr}-PI algebras, Rings which are sums of PI subrings, When Is a Graded PI Algebra a PI Algebra?, Note on rings which are sums of a subring and an additive subgroup, On graded polynomial identities with an antiautomorphism

Cites Work

• Unnamed Item
• Unnamed Item
• Zur Nilpotenz gewisser assoziativer Ringe
• General polynomial identities. II
• Rings which are sums of two subrings
• The sum of nil one-sided ideals of bounded index of a ring
• Identities of sums of commutative subalgebras
• Generalized polynomial identities and rings which are sums of two subrings
• On radicals of rings which are sums of two subrings