Nil-Armendariz rings relative to a monoid.

DOI10.1007/s40065-012-0040-3zbMath1301.16028OpenAlexW3142648614WikidataQ59293749 ScholiaQ59293749MaRDI QIDQ5895180

Lunqun Ouyang, Jin-wang Liu

Publication date: 18 September 2014

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-012-0040-3

zbMATH Keywords

monoid ringsunique product monoidsnil-Armendariz ringsweak annihilator ideals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Semigroup rings, multiplicative semigroups of rings (20M25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (6)

\(\pi\)-Armendariz rings relative to a monoid ⋮ Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ Nil-Armendariz condition on skew generalized power series rings ⋮ A GENERALIZATION OF NIL-ARMENDARIZ RINGS ⋮ On nil-McCoy rings relative to a monoid ⋮ A note on lower nil M-Armendariz rings

Cites Work

• Extensions of nilpotent p.p. rings.
• Nilpotent elements and Armendariz rings.
• Noetherian rings of generalized power series
• Armendariz rings
• Triangular matrix representations of ring extensions.
• Armendariz rings and reduced rings
• A Characterization of σ -Rigid Rings
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• ON (α, δ)-SKEW ARMENDARIZ RINGS
• ARMENDARIZ RINGS RELATIVE TO A MONOID
• On Skew Armendariz Rings
• ON II-ARMENDARIZ RINGS
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