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Classifications of Several Classes of Armendariz-like Rings Relative to an Abelian Monoid and Its Applications [PDF]

Mathematics
Let M be an Abelian monoid. A necessary and sufficient condition for the class ArmM of all Armendariz rings relative to M to coincide with the class Arm of all Armendariz rings is given.
Jianwei He
exaly   +4 more sources

?-Armendariz Rings and Related Concepts [PDF]

مجلة بغداد للعلوم, 2016
In this paper we investigated some new properties of ?-Armendariz rings and studied the relationships between ?-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, ?-compatible rings and ...
Baghdad Science Journal
doaj   +3 more sources

On Nil-Symmetric Rings [PDF]

Journal of Mathematics, 2014
The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a particular case of nil-semicommutative rings. A ring R is called right (left) nil-symmetric if, for a,b,c∈R, where a,b are nilpotent elements, abc=0  (cab=
Uday Shankar Chakraborty, Krishnendu Das
doaj   +2 more sources

Nilpotent Elements in Skew Polynomial Rings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj   +2 more sources

A GENERALIZATION OF NIL-ARMENDARIZ RINGS

Journal of Algebra and Its Applications, 2013
Let R be a ring, M a monoid and ω : M → End (R) a monoid homomorphism. The skew monoid ring R * M is a common generalization of polynomial rings, skew polynomial rings, (skew) Laurent polynomial rings and monoid rings. In the current work, we study the nil skew M-Armendariz condition on R, a generalization of the standard nil-Armendariz condition from
Habibi, Mohammad, Manaviyat, Raoufeh
  +10 more sources

On Nilpotent Elements of Skew Polynomial Rings [PDF]

Journal of Mathematical Extension, 2012
We study the structure of the set of nilpotent elements in skew polynomial ring R[x; α], when R is an α-Armendariz ring. We prove that if R is a nil α-Armendariz ring and α t = IR, then the set of nilpotent elements of R is an α-compatible subrng of ...
J. Esmaeili, E. Hashemi
doaj   +1 more source

A Note on Skew Generalized Power Serieswise Reversible Property

International Journal of Analysis and Applications, 2023
The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal.
Eltiyeb Ali
doaj   +1 more source

On weak nil-armendariz rings

, 2009
Rege and Chhawchharia introduce the notion of an Armendariz ring. A ring R is Armendariz if whenever f(x)g(x) = 0 where f(x) = a0 + a1x + · · · + anx n and g(x) = b0 + b1x + · · · + bmxm ? R[x], then aibj = 0 for each i and j. The name of the ring was given due to E. Armendariz who proved that reduced rings (i.e.
openaire   +1 more source

Proceedings to the 61^st Annual Conference of the Particle Therapy Cooperative Group: 10 June - 16 June, 2023 Co-organized by the Quironsalud and the Clinica Universidad de Navarra, Madrid, Spain. [PDF]

Int J Part Ther, 2023
europepmc   +1 more source

The 21st conference of the asian pacific association for the study of the liver : oral presentations 17 february, 2011 (thursday). [PDF]

Hepatol Int, 2011
europepmc   +1 more source