On Weak Annihilator Ideals of Skew Monoid Rings

DOI10.1080/00927872.2010.522641zbMath1262.16022OpenAlexW2100525252MaRDI QIDQ2902265

Lunqun Ouyang

Publication date: 17 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.522641

zbMATH Keywords

semicommutative ringsweak annihilatorsskew monoid ringsweakly associated primes

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Semigroup rings, multiplicative semigroups of rings (20M25) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

Ore extension rings over rings satisfy the weak Beachy-Blair condition ⋮ \(\pi\)-Armendariz rings relative to a monoid ⋮ McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS

Cites Work

• Unnamed Item
• Extensions of zip rings.
• Associated primes of principal idelals
• Polynomial extensions of quasi-Baer rings.
• Semi-commutativity and the McCoy condition.
• ORE EXTENSIONS OF WEAK ZIP RINGS
• ON ANNIHILATOR IDEALS OF SKEW MONOID RINGS
• Armendariz rings and gaussian rings
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• On Weak Symmetric Rings
• On Weak Armendariz Rings
• On the Representation of Modules by Sheaves of Factor Modules
• On annihilator ideals of a polynomial ring over a noncommutative ring

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