Rings with commuting \(n\)-th powers

DOI10.1007/BF01191996zbMath0605.16005OpenAlexW2325145268MaRDI QIDQ1084158

Yuji Kobayashi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01191996

zbMATH Keywords

commutativity theoremssubdirect productsring of matrices\(P_ n\)-rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Rings with polynomial identity (16Rxx)

Related Items (4)

Structures of rings satisfying certain conditions ⋮ Commutativity of n-torsion-free rings with commuting powers ⋮ Some commutativity theorems for left s-unital rings ⋮ On non-commutative algebras and commutativity conditions

Cites Work

• On 3-torsion free rings in which every cube commutes with each other
• Rings with few zero divisors
• A Commutattvity Theorem for Rings and Groups
• Reflexive ideals
• Rings in Which Certain Subsets Satisfy Polynomial Identities
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