On Monoid Rings Over Nil Armendariz Ring

DOI10.1080/00927872.2012.657382zbMath1300.16027OpenAlexW2019417321MaRDI QIDQ5409762

Abdollah Alhevaz, Ahmad Moussavi

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.657382

zbMATH Keywords

nilpotent elementspolynomial ringsmonoid ringsunique product monoidsnil Armendariz rings

Mathematics Subject Classification ID

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

Related Items

Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ On primeness of general skew inverse Laurent series ring ⋮ A note on lower nil M-Armendariz rings ⋮ Nilradicals of the unique product monoid rings

Cites Work

• Unnamed Item
• Unnamed Item
• Structure and topological conditions of NI rings.
• Nilpotent elements and Armendariz rings.
• A new class of unique product monoids with applications to ring theory.
• Noetherian rings of generalized power series
• Armendariz rings
• Nil ideals in rings with finite Krull dimension
• Polynomial rings over nil rings need not be nil
• Armendariz rings and reduced rings
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• Nilpotent Elements and Skew Polynomial Rings
• On Rings Having McCoy-Like Conditions
• ANNIHILATOR CONDITIONS IN MATRIX AND SKEW POLYNOMIAL RINGS
• Radicals Of Polynomial Rings
• On Strongly Clean Matrix and Triangular Matrix Rings
• Nilpotent ideals in polynomial and power series rings
• McCoy Rings Relative to a Monoid
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• ARMENDARIZ RINGS RELATIVE TO A MONOID
• On Weak Armendariz Rings
• Nil Subrings of Goldie Rings are Nilpotent
• Remarks on Divisors of Zero
• On annihilator ideals of a polynomial ring over a noncommutative ring