Results 51 to 60 of about 263 (93)

On the relation between one-sided duoness and commutators

Open Mathematics
This article studies the structure of rings RR over which the 2×22\times 2 upper triangular matrix rings with the same diagonal are right duo, denoted by D2(R){D}_{2}\left(R).
Kim Nam Kyun, Lee Yang
doaj   +1 more source

On Jordan Triple Homomorphism and Generalized Jordan Triple Homomorphism of Gamma Rings [PDF]

, 2016
More details can be found in the full ...
Dey, Kalyan Kumar, Jarulla, Fawaz Raad
core   +1 more source

Derivation which Acts as a Homomorphism or as an Anti-homomorphism in a Prime Ring

, 2007
Let R be a prime ring and S a non-empty subset of R. Suppose that θ, φ are endomorphisms of R. An additive mapping F : R −→ R is called a generalized (θ, φ)-derivation on S if there exists a (θ, φ)derivation d : R −→ R such that F(xy )= F(x)θ(y )+ φ(x)d ...
Asma Ali, Deepak Kumar
semanticscholar   +1 more source

Quasi-Duo Skew Polynomial Rings [PDF]

Journal of Pure and Applied Algebra 212 (2008) 1951-1959, 2009
A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynomial ring R[x] is right quasi-duo iff R[x] is commutative modulo its Jacobson radical iff R[x] is left quasi-duo, (2) the skew Laurent polynomial ring is right quasi-duo iff ...
arxiv   +1 more source

Dual $\pi$-Rickart Modules [PDF]

, 2012
Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S =$ End$_R(M)$. In this paper we introduce dual $\pi$-Rickart modules as a generalization of $\pi$-regular rings as well as that of dual Rickart modules.
Halıcıoglu, Sait, Harmanci, Abdullah, Kurtulmaz, Yosum, Ungor, Burcu   +3 more
core   +1 more source

SOME EXAMPLES OF ARMENDARIZ RINGS [PDF]

, 2017
We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of monoid M. In particular, we give some examples of Armendariz rings related to a monoid.
Ali, Eltiyeb, Elshokry, Ayoub
core   +1 more source

On Algebraic Multi-Ring Spaces [PDF]

arXiv, 2005
A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with rings in classical ring theory, the conception of multi-ring spaces is introduced. Some characteristics of a multi-ring space are obtained in this paper.
arxiv  

The Avrunin-Scott theorem for quantum complete intersections [PDF]

arXiv, 2008
We prove the Avrunin-Scott theorem for quantum complete intersections; the rank variety of a module is isomorphic to its support variety.
arxiv  

Ext-symmetry over quantum complete intersections [PDF]

arXiv, 2008
We show that symmetry in the vanishing of cohomology holds for graded modules over quantum complete intersections. Moreover, symmetry holds for all modules if the algebra is symmetric.
arxiv  

On commutativity of σ-prime rings [PDF]

, 2006
Let R be a 2-torsion free σ-prime ring having a σ-square closed Lie ideal U and an automorphism T centralizing on U. We prove that if there exists u0 in Saσ(R) with Ru0 ⊂ U and if T commutes with σ on U, then U is contained in the center of R.
L. Oukhtite, S. Salhi
core   +1 more source