The Armendariz property on ideals.

DOI10.1016/J.JALGEBRA.2011.12.019zbMath1263.16040OpenAlexW2062003754WikidataQ112881528 ScholiaQ112881528MaRDI QIDQ448400

Tai Keun Kwak, Sang Jo Yun, Yang Lee

Publication date: 6 September 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.12.019

zbMATH Keywords

von Neumann regular ringssymmetric ringsAbelian ringsArmendariz ringsideal-Armendariz ringsinsertion-of-factors-propertymaximal right idealsminimal noncommutative ringsstrongly reversible rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Ordinary and skew polynomial rings and semigroup rings (16S36) Generalizations of commutativity (associative rings and algebras) (16U80) Ideals in associative algebras (16D25)

Cites Work

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• ON WEAK ARMENDARIZ RINGS
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• Reversible Rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
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Related Items (7)

Zero Divisors in Skew Power Series Rings ⋮ Unnamed Item ⋮ Ring properties related to symmetric rings ⋮ Symmetric ring property on nil ideals ⋮ A generalization of the symmetry property of a ring via its endomorphism ⋮ On Constant Zero-Divisors of Linear Polynomials ⋮ FINITE LOCAL RINGS OF ORDER ≤ 16 WITH NONZERO JACOBSON RADICAL

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