Results 61 to 70 of about 263 (93)
Some bounds for commuting probability of finite rings [PDF]
arXiv, 2017 Let $R$ be a finite ring. The commuting probability of $R$ is the probability that any two randomly chosen elements of $R$ commute. In this paper, we obtain some bounds for commuting probability of $R$.
arxiv
On commuting probabilities in finite groups and rings [PDF]
arXiv, 2020 We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class $\le2$. We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements.
arxiv
On generalized commuting probability of finite rings [PDF]
arXiv, 2017 Let $R$ be a finite ring and $r \in R$. The aim of this paper is to study the probability that the commutator of a randomly chosen pair of elements of $R$ equals $r$.
arxiv
Commutativity of associative rings through a Streb's classification [PDF]
, 1997 summary:Let $m \geq 0, ~r \geq 0, ~s \geq 0, ~q \geq 0$ be fixed integers. Suppose that $R$ is an associative ring with unity $1$ in which for each $x,y \in R$ there exist polynomials $f(X) \in X^{2} \mbox{$Z \hspace{-2.2mm} Z$}[X], ~g(X), ~h(X) \in X ...
Ashraf, Mohammad
core
(Co)homology of quantum complete intersections [PDF]
arXiv, 2007 We construct a minimal projective bimodule resolution for every finite dimensional quantum complete intersection of codimension two. Then we use this resolution to compute both the Hochschild cohomology and homology for such an algebra. In particular, we show that the cohomology vanishes in high degrees, while the homology is always nonzero.
arxiv
The stable AR-quiver of a quantum complete intersection [PDF]
, 2009 We completely describe the tree classes of the components of the stable Auslander-Reiten quiver of a quantum complete intersection. In particular, we show that the tree class is always $A_{\infty}$ whenever the algebra is of wild representation type.
arxiv +1 more source
, 2009 In this note, we introduce abelian modules as a generalization of abelian rings. Let R be an arbitrary ring with identity. A module M is called abelian if, for any m 2 M and any a 2 R, any idempotent e 2 R, mae = mea.
Agayev, Nazım +3 more
core
On Jordan (σ,τ) - Higher Reverse Derivations of Gamma-Rings [PDF]
, 2016 More details can be found in the full ...
Jarullah, Fawaz Raad
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Strong commutativity preserving maps on Lie ideals of semiprime rings [PDF]
Beitrage zur algebra und geometrie 49 (2) (2008) 441--447, 2009 Let $R$ be a 2-torsion free semiprime ring and $U$ a nonzero square closed Lie ideal of $R$. In this paper it is shown that if $f$ is either an endomorphism or an antihomomorphism of $R$ such that $f(U)=U,$ then $f$ is strong commutativity preserving on $U$ if and only if $f$ is centralizing on $U.$
arxiv
First Order Calculi with Values in Right--Universal Bimodules
, 1996 The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a
Borowiec, A. +2 more
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