Indices of nilpotency in a PI-ring

DOI10.1007/BF01235774zbMath0552.16007MaRDI QIDQ801000

Abraham A. Klein

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

productcubesindex of nilpotencyPI-ringfinitely generated nil ringsnilpotent subset

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) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (3)

Estimates in Shirshov height theorem ⋮ BOUNDS FOR INDICES OF NILPOTENCY OF FINITELY GENERATED NIL RINGS OF FINITE INDEX ⋮ Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods.

Cites Work

• Unnamed Item
• Upper bounds for the indices of nilpotence of certain rings and ideals
• Nil Pi-Rings

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