On commutativity of periodic rings and near-rings

DOI10.1007/BF01898145zbMath0464.16026OpenAlexW2149088955MaRDI QIDQ3915122

Howard E. Bell

Publication date: 1980

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01898145

zbMATH Keywords

nilpotent elementscentercommutator idealperiodic ringdistributively-generated near-ring

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) Near-rings (16Y30) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (11)

Commutativity theorems for rings with constraints involving a commutative subsets ⋮ Weakly periodic rings with conditions on commutators ⋮ On quasi-periodic rings ⋮ ON FULLY FILIAL TORSION RINGS ⋮ Rings in which derivations satisfy certain algebraic conditions ⋮ Some new characterizations of periodic rings ⋮ Commutativity results for periodic rings ⋮ On rings with Engel cycles. II ⋮ Commutativity of rings satisfying certain polynomial identities ⋮ On rings with powers commuting on subsets ⋮ Some results on commutativity and anti-commutativity in rings

Cites Work

• Unnamed Item
• A commutativity study for periodic rings
• Properties of rings with a finite number of zero divisors
• Properties of rings with a finite number of zero divisors. II
• Rings with few zero divisors
• Distributively Generated Near-Rings: (I. Ideal Theory)
• A Condition for the Commutativity of Rings
• Some Commutativity Results for Rings with Two-Variable Constraints
• Structure of a Certain Class of Rings with Involution
• Some commutativity results for periodic rings
• A Commutativity Theorem for Near-Rings
• On The Commutativity of J-Rings
• The Additive Group of an Infinite Near-Field is Abelian
• On a Theorem of Herstein
• On the Commutativity of Addition
• A note on rings with central nilpotent elements

This page was built for publication: On commutativity of periodic rings and near-rings