Weak annihilator property of Malcev-Neumann rings.

zbMath1271.16045MaRDI QIDQ2376935

Lunqun Ouyang, Jin-wang Liu

Publication date: 26 June 2013

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol36_2_10.html

zbMATH Keywords

nilpotent elementsright annihilatorssemicommutative ringsweak annihilatorsMalcev-Neumann ringsNI-ringsweak APP-rings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

\(\pi\)-Armendariz rings relative to a monoid ⋮ Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ Mal'cev-Neumann series over rings satisfy the weak Beachy-Blair condition

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