Weakly periodic rings with conditions on commutators

DOI10.1007/BF00052203zbMath0852.16026OpenAlexW1972454134MaRDI QIDQ1917169

Hazar Abu-Khuzam, Adil Yaqub, Mohamad Hasanali

Publication date: 8 December 1996

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00052203

zbMATH Keywords

nilpotent elementsperiodic ringsextended commutatorsweakly periodic ringscommutativitycommutator idealpotent elements

Mathematics Subject Classification ID

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) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Identities other than those of matrices over commutative rings (16R40)

Cites Work

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• A commutativity study for periodic rings
• On commutativity of periodic rings and near-rings
• Some commutativity results for periodic rings
• A note on rings with central nilpotent elements

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