Results 1 to 10 of about 263 (93)
Structure of weakly periodic rings with potent extended commutators [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 299-304, 2001., 2001 A well‐known theorem of Jacobson (1964, page 217) asserts that a ring R with the property that, for each x in R, there exists an integer n(x) > 1 such that xn(x) = x is necessarily commutative. This theorem is generalized to the case of a weakly periodic ring R with a “sufficient” number of potent extended commutators.
Adil Yaqub
wiley +4 more sources
The representation dimension of quantum complete intersections [PDF]
arXiv, 2007 We study the representation dimension of the class of algebras known as quantum complete intersections. For such an algebra, we show that the representation dimension is at most twice its codimension. Moreover, we show that the representation dimension of a "homogeneous" quantum complete intersection is strictly larger than its codimension.
Bergh, Petter Andreas +1 more
arxiv +4 more sources
Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case [PDF]
, 2011 We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of 'quantum' type in all but a few exceptional cases.
A. Solotar +2 more
arxiv +3 more sources
Extended Armendariz Rings [PDF]
Algebras Groups Geom., 26(4)(2009), 343-354, 2013 In this note we introduce central linear Armendariz rings as a generalization of Armendariz rings and investigate their properties.
Agayev, Nazim +2 more
arxiv +4 more sources
On McCoy Condition and Semicommutative Rings [PDF]
Comment.Math.Univ.Carolin. 54,3 (2013) 329-337, 2012 Let $R$ be a ring, $\sigma$ an endomorphism of $R$, $I$ a right ideal in $S=R[x;\sigma]$ and $M_R$ a right $R$-module. We give a generalization of McCoy's Theorem \cite{mccoy}, by showing that, if $r_S(I)$ is $\sigma$-stable or $\sigma$-compatible. Then $\;r_S(I)\neq 0$ implies $r_R(I)\neq 0$. As a consequence, if $R[x;\sigma]$ is semicommutative then $
Louzari, Mohamed
arxiv +6 more sources
Subperiodic rings with conditions on extended commutators [PDF]
, 2013 Let R be a ring with Jacobson radical J and with center C. Let P be the set of potent elements x for which xk = x for some integer k > 1. Let N be the set of nilpotents. A ring R is called subperiodic if R \ (J ∪ C) ⊆ N + P .
A. Yaqub
semanticscholar +2 more sources
Some commutativity criteria involving endomorphism conditions on prime ideals
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring R/P by endomorphisms of R satisfying some algebraic identities involving the prime ideal P.
L. Oukhtite
semanticscholar +1 more source
On The Identity d(x) = λx + ζ(x)
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), 2021 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, where d a derivation on R and R has a cancellation property with identity.
M. Atteya, D. Resan
semanticscholar +1 more source
Jordan triple (α,β)-higher ∗-derivations on semiprime rings
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
doaj +1 more source
On multiplicative centrally-extended maps on semi-prime rings
Journal of Taibah University for Science, 2022 In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps ...
M. S. Tammam EL-Sayiad, A. Ageeb
doaj +1 more source