A CONCEPT UNIFYING THE ARMENDARIZ AND NI CONDITIONS

DOI10.4134/BKMS.2011.48.1.115zbMath1214.16021MaRDI QIDQ3076115

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Publication date: 17 February 2011

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=402761

zbMATH Keywords

idempotentsnilpotent elementsmatrix ringsring extensionsOre extensionsAbelian ringsArmendariz ringsdirectly finite ringsnil left ideals\(NI\) rings\(NR\) rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (9)

Nilpotent polynomials and nilpotent coefficients ⋮ Amalgamated rings with clean-type properties ⋮ A taxonomy of Dedekind-finite and reflexive rings ⋮ Unnamed Item ⋮ On linearly weak Armendariz rings. ⋮ Classification of nonsemicommutative rings ⋮ Quasi-normality of idempotents on nilpotents ⋮ Polynomial Rings Over Weak Armendariz Rings need not be Weak Armendariz ⋮ N-chained semigroups and -perspective modules and rings

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