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A Note on Algebras that are Sums of Two Subalgebras

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Publication:2810713
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DOI10.4153/CMB-2015-082-6zbMath1341.16020OpenAlexW2513216252MaRDI QIDQ2810713

Marek Kępczyk

Publication date: 3 June 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2015-082-6


zbMATH Keywords

prime ringsPI algebrassemiprime algebrasPI ringsrings with polynomial identitiessums of subalgebras


Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)


Related Items (5)

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 ⋮ On rings which are sums of subrings and additive subgroups ⋮ Rings which are sums of PI subrings ⋮ Note on rings which are sums of a subring and an additive subgroup







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