The sum of two locally nilpotent rings may contain a free non-commutative subring

DOI10.1090/S0002-9939-99-05005-4zbMath0983.16014OpenAlexW1550299839MaRDI QIDQ4699524

Anna Fukshansky

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05005-4

zbMATH Keywords

nil ringssemigroup algebrasnilpotent ringslocally nilpotent ringssums of subringsfree subrings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (1)

Sums of simple subalgebras

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