On a characterization of distributive rings via saturations and its applications to Armendariz and Gaussian rings.
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Publication:461291
DOI10.4171/RMI/807zbMath1307.16024MaRDI QIDQ461291
Ryszard Mazurek, Michał Ziembowski
Publication date: 10 October 2014
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Ordinary and skew polynomial rings and semigroup rings (16S36) 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) Ore rings, multiplicative sets, Ore localization (16U20)
Related Items (3)
Zero-divisor placement, a condition of Camillo, and the McCoy property ⋮ Distributive modules and Armendariz modules. ⋮ Nilradicals of the unique product monoid rings
Cites Work
- Unnamed Item
- The diamond lemma for ring theory
- Triangular matrix representations of ring extensions.
- On distributive modules and rings.
- Über die Ideale arithmetischer Ringe
- Armendariz rings and gaussian rings
- A note on extensions of Baer and P. P. -rings
- Power Series Rings Satisfying a Zero Divisor Property
- A Remark on Arithmetical Rings
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