Results 91 to 100 of about 4,079 (208)

A Generalization of Source of Semiprimeness

Journal of New Theory
This paper characterizes the semigroup ideal $\mathcal{L}_{R}^{n}(I)$ of a ring $R$, where $I$ is an ideal of $R$, defined by $\mathcal{L}_{R}^{0}(I)=I$ and $\mathcal{L}_{R}^{n}(I)=\{a\in R \mid aRa\subseteq \mathcal{L}_{R}^{n-1}(I)\}$, for all $n\in \mathbb{Z}^+$, the set of all the positive integers.
Didem Karalarlıoğlu Camcı, Didem Yeşil, Rasie Mekera, Çetin Camcı   +3 more
openaire   +3 more sources

On centrally-extended multiplicative (generalized)-(α, β)-derivations in semiprime rings

Hacettepe Journal of Mathematics and Statistics, 2019
Let $R$ be a ring with center $Z$ and $\alpha$, $\beta$ and $d$ mappings of $R$. A mapping $F$ of $R$ is called a centrally-extended multiplicative (generalized)-$(\alpha,\beta)$-derivation associated with $d$ if $F(xy)-F(x)\alpha(y)-\beta(x)d(y)\in Z ...
N. Muthana, Zakeiah Alkhamisi
semanticscholar   +1 more source

Open Set Lattices of Subspaces of Spectrum Spaces

Demonstratio Mathematica, 2015
We take a unified approach to study the open set lattices of various subspaces of the spectrum of a multiplicative lattice L. The main aim is to establish the order isomorphism between the open set lattice of the respective subspace and a sub-poset of L.
Nai Y.T., Zhao D.
doaj   +1 more source

On Dependent Elements of Semiprime Rings [PDF]

arXiv, 2017
In this paper we study and investigate concerning dependent elements of semiprime rings and prime rings R by using generalized derivation and derivation,when R admsit to satisfy some conditions,we give some results about that.
arxiv  

Derivations on semiprime rings [PDF]

Bulletin of the Australian Mathematical Society, 1996
The main result: Let R be a 2-torson free semiprime ring and let D: R → R be a derivation. Suppose that [[D(x), x], x] = 0 holds for all x ∈ R. In this case [D(x), x] = 0 holds for all x ∈ R.
openaire   +2 more sources

On Fusible Rings [PDF]

arXiv, 2019
We answer in negative two of questions posed in [4]. We also establish a new characterization of semiprime left Goldie rings by showing that a semiprime ring R is left Goldie iff it is regular left fusible and has finite left Goldie dimension.
arxiv  

Multiplicative semiderivations on ideals in semiprime rings [PDF]

arXiv, 2017
In this paper, we introduce multiplicative semiderivation and we investigate the commutativity of semiprime rings satisfying certain conditions and identities involving multiplicative semiderivations on a nonzero ideal I of a ring R.
arxiv  

Structure of Semiprime P.I. Rings [PDF]

Proceedings of the American Mathematical Society, 1973
In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring R R has a unique maximal left quotient ring Q Q such that (1) Q Q is von Neumann regular with unity and (2) every regular element in R R
openaire   +1 more source

Pythagorean fuzzy nil radical of Pythagorean fuzzy ideal

Boletim da Sociedade Paranaense de Matemática
In this work, we introduce the Pythagorean fuzzy nil radical of a Pythagorean fuzzy ideal of a commutative ring, we further provide the notion of Pythagorean fuzzy semiprime ideal, and we study some related properties.
Idris Bachadach, A. Talhaoui, S. Melliani, Sofyane Achik   +3 more
doaj   +1 more source

A quantum-inspired probabilistic prime factorization based on virtually connected Boltzmann machine and probabilistic annealing. [PDF]

Sci Rep, 2023
Jung H, Kim H, Lee W, Jeon J, Choi Y, Park T, Kim C.   +6 more
europepmc   +1 more source