Results 101 to 110 of about 1,149,018 (192)
Prime Structures in a Morita Context
, 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal.
Calci, Mete Burak +3 more
core
On commutativity of prime and semiprime rings with generalized derivations
Ratio Mathematica, 2020 Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
doaj +1 more source
Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj +1 more source
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
On nilpotent derivations of semiprime rings
Journal of Algebra, 1992 AbstractIn this paper we study nilpotent derivations of semiprime rings. An associative derivation d: R → R is an additive mapping on a ring R satisfying d(xy) = d(x) y + xd(y) for all x, y ϵ R. A derivation d: R → R is called inner if d= ad x for some x ϵ R, where ad x(y) = xy − yx.
openaire +2 more sources
Left centralizers on rings that are not semiprime
Rocky Mountain Journal of Mathematics, 2011 A (left) centralizer for an associative ring R is an additive map satisfying T(xy) = T(x)y for all x , y in R . A (left) Jordan centralizer for an associative ring R is an additive map satisfying T ( xy + yx ) = T ( x ) y + T ( y ) x for all x , y in R . We characterize rings with a Jordan centralizer T .
Hentzel, Irvin, El-Sayiad, M.S.
openaire +4 more sources
A note on Jordan left *-centralizers on prime and semiprime rings with involution
Journal of Taibah University for Science, 2017 The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad +2 more
doaj
Derivations of higher order in semiprime rings
International Journal of Mathematics and Mathematical Sciences, 1998 Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
Jiang Luh, Youpei Ye
doaj +1 more source
Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]
Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc +1 more source
Left Multiplicative Generalized Jordan Derivations of Semiprime Rings
, 2018 In this paper we prove that left multiplicative generalized Jordan derivation and left multiplicative generalized Jordan triple derivation of 2-torsion free semiprime rings are left multiplicative generalized derivation.
Reddy Cjs, K. Nagesh, Kumar As
semanticscholar +1 more source