Results 71 to 80 of about 263 (93)
A description of quasi-duo Z-graded rings [PDF]
arXiv, 2009 A description of right (left) quasi-duo Z-graded rings is given. It shows, in particular, that a strongly Z-graded ring is left quasi-duo if and only if it is right quasi-duo. This gives a partial answer to a problem posed by Dugas and Lam in [1].
arxiv
Endo-principally Projective Modules [PDF]
, 2013 Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper, we introduce a class of modules that is a generalization of principally projective (or simply p.p.) rings and Baer modules.
Agayev, Nazım +3 more
core
Commuting probabilities of $n$-centralizer finite rings [PDF]
arXiv, 2018 Let $R$ be a finite ring. The commuting probability of $R$, denoted by $\Pr(R)$, is the probability that any two randomly chosen elements of $R$ commute. $R$ is called an $n$-centralizer ring if it has $n$ distinct centralizers. In this paper, we compute $\Pr(R)$ for some $n$-centralizer finite rings.
arxiv
Derivations and commutativity of σ-prime rings, [PDF]
, 2006 Let R be a σ-prime ring with characteristic not two and d be a nonzero derivation of R commuting with σ. The purpose of this paper is to give suitable conditions under which R must be commutative.
L Oukhtite, S Salhi
core
On Generalized Jordan Isomorphisms of a Gamma- Ring M onto a Gamma- Ring M' [PDF]
, 2016 More details can be found in the full ...
Jarullah, Fawaz Raad
core +1 more source
On splitting polynomials with noncommutative coefficients [PDF]
arXiv, 2007 It is shown that for every splitting of a polynomial with noncommutative coefficients into linear factors $(X-a_{k})$ with $a_{k}$'s commuting with coefficients, any cyclic permutation of linear factors gives the same result and all $a_{k}$ are roots of that polynomial. Examples are given and analyzed from Galois theory point of view.
arxiv
On Principally Quasi-Baer Modules [PDF]
, 2011 Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper, we introduce a class of modules that is a generalization of principally quasi-Baer rings and Baer modules.
Agayev, Nazım +3 more
core
Cohomology of twisted tensor products [PDF]
arXiv, 2008 It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extend this is still true. We give an explicit description of the $\Ext$-algebra of the tensor product of two modules, and under certain additional conditions, describe an essential
arxiv
, 2012 We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be an arbitrary ring with identity and M be a right R-module with S = EndR(M).
Agayev, Nazım +2 more
core
Centralizing automorphisms and Jordan left derivations on $σ$-prime rings [PDF]
Advances in algebra 1 (1) (2008) 19-26, 2009 Let $R$ be a 2-torsion free $\sigma$-prime ring. It is shown here that if $U\not\subset Z(R)$ is a $\sigma$-Lie ideal of $R$ and $a, b$ in $R$ such that $aUb=\sigma(a)Ub=0,$ then either $a=0$ or $b=0.$ This result is then applied to study the relationship between the structure of $R$ and certain automorphisms on $R$.
arxiv