FINITE RINGS WITH COMMUTING NILPOTENT ELEMENTS

DOI10.1080/02560049608542650zbMath0856.16018OpenAlexW4235893321MaRDI QIDQ4892913

Takao Sumiyama, Yasuyuki Hirano

Publication date: 13 February 1997

Full work available at URL: https://doi.org/10.1080/02560049608542650

zbMATH Keywords

nilpotent elementsJacobson radicalsubdirect sumsfinite ringscommutativityvarieties of rings with definable principal congruences

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Finite rings and finite-dimensional associative algebras (16P10) 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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

On the complexity of radicals in noncommutative rings ⋮ On a conjecture of I. N. Herstein

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