McCoy property and nilpotent elements of skew generalized power series rings
From MaRDI portal
Publication:4588375
DOI10.1142/S0219498817501833zbMath1383.16037MaRDI QIDQ4588375
Publication date: 26 October 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
skew generalized power series ring\((S,\omega)\)-Armendariz ringskew triangular matrix ringsemicommutative ring(weak) zip ring\((S,\omega)\)-McCoy ring
Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80)
Related Items
CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Triangulating dimension of skew generalized power series rings ⋮ Zero-divisor graphs of twisted partial skew generalized power series rings ⋮ Some characterizations of 2-primal skew generalized power series rings ⋮ Goldie ranks of skew generalized power series rings ⋮ ARCHIMEDEAN SKEW GENERALIZED POWER SERIES RINGS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structure and topological conditions of NI rings.
- Rings with zero intersection property on annihilators: zip rings
- A new class of unique product monoids with applications to ring theory.
- Fields of generalized power series
- Rings of generalized power series: Nilpotent elements
- Rings whose faithful left ideals are cofaithful
- Armendariz rings
- Semisimple rings and von Neumann regular rings of generalized power series
- Nil ideals in rings with finite Krull dimension
- Triangular matrix representations of ring extensions.
- Extensions of reversible rings.
- Extensions of zip rings.
- Special properties of generalized power series
- Some examples of valued fields
- The unique product property of groups and their amalgamated free products
- Duo, Bézout, and distributive rings of skew power series.
- Polynomial extensions of quasi-Baer rings.
- McCoy rings and zero-divisors.
- Semi-commutativity and the McCoy condition.
- Triangular matrix representations of rings of generalized power series.
- ON 2-PRIMAL ORE EXTENSIONS
- SPECIAL WEAK PROPERTIES OF GENERALIZED POWER SERIES RINGS
- Armendariz and Reduced Rings
- Power-serieswise McCoy Rings
- ORE EXTENSIONS OF WEAK ZIP RINGS
- Annihilators in Polynomial Rings
- Annihilator ideals, associated primes and kasch-mccoy commutative rings
- Zip rings and mal'cev domains
- On Strongly Clean Matrix and Triangular Matrix Rings
- On Von Neumann Regular Rings of Skew Generalized Power Series
- McCoy Rings Relative to a Monoid
- A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
- Extensions of McCoy Rings
- Extensions of Rings Having McCoy Condition
- The McCoy Condition on Skew Polynomial Rings
- EXTENSIONS OF McCOY'S THEOREM
- A note on extensions of Baer and P. P. -rings
- The Finite Intersection Property on Annihilator Right Ideals
- The McCoy Condition on Ore Extensions
- Endomorphism rings of modules of generalized inverse polynomials∗
- Left principally quasi-Baer and left APP-rings of skew generalized power series
- On Weak Symmetric Rings
- Nil Rings Satisfying Certain Chain Conditions
- Nilpotent elements and nil-Armendariz property of skew generalized power series rings
- Special Properties of Rings of Skew Generalized Power Series
- Nil Subrings of Goldie Rings are Nilpotent
- Near-rings in which each element is a power of itself
- On the Representation of Modules by Sheaves of Factor Modules
- Zero Divisors and Nilpotent Elements in Power Series Rings
- A question on McCoy rings
- Remarks on Divisors of Zero
- On annihilator ideals of a polynomial ring over a noncommutative ring
