ARMENDARIZ RINGS RELATIVE TO A MONOID

DOI10.1081/AGB-200049869zbMath1088.16021MaRDI QIDQ4682017

Liu, Zhongkui

Publication date: 9 June 2005

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

zbMATH Keywords

PP-ringsmonoid ringsBaer ringsArmendariz ringsunique product monoidsfinitely generated Abelian groups

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25) Local rings and generalizations (16L99)

Related Items

On Rings Having McCoy-Like Conditions ⋮ Corrigendum to “Annihilators and extensions of idempotent-generated ideals” ⋮ Power-serieswise McCoy Rings ⋮ Strongly semicommutative rings relative to a monoid. ⋮ NILPOTENT ELEMENTS AND NIL-ARMENDARIZ PROPERTY OF MONOID RINGS ⋮ \(\pi\)-Armendariz rings relative to a monoid ⋮ Unnamed Item ⋮ Quasi-Armendariz Rings Relative to a Monoid ⋮ Nil-Armendariz condition on skew generalized power series rings ⋮ Unnamed Item ⋮ Strongly CM -semicommutative rings ⋮ Nil-Armendariz rings relative to a monoid. ⋮ On extensions of Baer and quasi-Baer modules ⋮ RADICALS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ McCoy Rings Relative to a Monoid ⋮ A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS ⋮ On Monoid Rings Over Nil Armendariz Ring ⋮ Nil-Armendariz rings relative to a monoid. ⋮ A GENERALIZATION OF NIL-ARMENDARIZ RINGS ⋮ On Skew Triangular Matrix Rings ⋮ On nil-McCoy rings relative to a monoid ⋮ A note on lower nil M-Armendariz rings ⋮ Quasi-Armendariz rings relative to a monoid. ⋮ GENERALISED ARMENDARIZ PROPERTIES OF CROSSED PRODUCT TYPE ⋮ Radicals of Ore Extension of Skew Armendariz Rings ⋮ Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings ⋮ A new class of unique product monoids with applications to ring theory. ⋮ Distributive modules and Armendariz modules. ⋮ Nilradicals of the unique product monoid rings

Cites Work

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• Noetherian rings of generalized power series
• Armendariz rings
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• Triangular matrix representations of ring extensions.
• Armendariz rings and reduced rings
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• On Skew Armendariz Rings
• Polynomial extensions of Baer and quasi-Baer rings