McCoy modules and related modules over commutative rings

DOI10.1080/00927872.2016.1233218zbMath1369.13011OpenAlexW2528287569MaRDI QIDQ5274853

Sangmin Chun, Daniel D. Anderson

Publication date: 6 July 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233218

zbMATH Keywords

McCoy modulearithmetical moduleArmendariz moduledual McCoy moduleGaussian module

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Other special types of modules and ideals in commutative rings (13C13)

Related Items

Countably McCoy rings ⋮ On Property (A) of rings and modules over an ideal ⋮ Annihilating content polynomials and EM-rings ⋮ \(S\)-injective modules ⋮ When is the idealization R⋉M an 𝒜-ring? ⋮ On proper strong Property (𝒜) for rings and modules ⋮ The rings where zero-divisor polynomials have zero-divisor coefficients ⋮ Unnamed Item ⋮ On the vanishing of annihilators of modules ⋮ Annihilator conditions on modules over commutative rings ⋮ On property (𝒜) for modules over direct products of rings ⋮ Modules with annihilation property ⋮ On property () of the amalgamated duplication of a ring along an ideal ⋮ On modules related to McCoy modules

Cites Work

• Unnamed Item
• Right Gaussian rings and skew power series rings.
• On polynomial and power series rings over a commutative ring
• Armendariz rings
• Distributive modules and Armendariz modules.
• McCoy rings and zero-divisors.
• Semi-commutativity and the McCoy condition.
• On McCoy modules
• Armendariz rings and gaussian rings
• Remarks on Divisors of Zero