Results 61 to 70 of about 1,198,003 (194)

Semiprime skew group rings

Journal of Algebra, 1978
In this paper we prove that if G is a finite group of automorphisms acting on a semiprime ring R such that R has no additive ] G j-torsion, then the skew group ring R*G is also semiprime. The result was heretofore known in such special cases as when G is finite abelian, R is Goldie, or R satisfies a polynomial identity [I]. Our technique of proof is to
Susan Montgomery, Joe W. Fisher
openaire   +2 more sources

D-Semiprime Rings

European Journal of Pure and Applied Mathematics
Let R be an associative and 2-torsion-free ring with an identity. in this work, we will generalize the results of differentially prime rings in [18] by applying the hypotheses in a differentially semiprime rings.
Maram Alosaimi, Ahmad Alkhalaf, Rohaidah Masri, Iman Taha   +3 more
semanticscholar   +1 more source

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

Dependent Elements of Derivations on Semiprime Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2009
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d. We show that there exist ideals U and V of R such that U ⊕ V is an essential ideal of R, U∩V = {0}, d = 0 on U, d(V)⊆V, and d acts freely on V.
Muhammad Anwar Chaudhry, Faisal Ali
openaire   +2 more sources

Semiprime RΓ-Submodules of Multiplication RΓ-Modules

Iraqi Journal of Science, 2020
Let R be a Γ-ring and G be an RΓ-module. A proper RΓ-submodule S of G is said to be semiprime RΓ-submodule if for any ideal I of a Γ-ring R and for any RΓ-submodule A of G such that or which implies that .
Ali Abd Alhussein Zyarah, N. Al-Mothafar
semanticscholar   +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

On Prime and Semiprime Rings with Symmetric Generalized Biderivations

Al-Mustansiriyah Journal of Science, 2017
The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings.
Auday H. Mahmood, Dheaa K. Hussain K. Hussein   +1 more
doaj   +1 more source

On Rings of Weak Global Dimension at Most One

Mathematics, 2021
A ring R is of weak global dimension at most one if all submodules of flat R-modules are flat. A ring R is said to be arithmetical (resp., right distributive or left distributive) if the lattice of two-sided ideals (resp., right ideals or left ideals) of
Askar Tuganbaev
doaj   +1 more source

On Maps of Period 2 on Prime and Semiprime Rings

International Journal of Mathematics and Mathematical Sciences, 2014
A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized ...
H. E. Bell, M. N. Daif
doaj   +1 more source

On a theorem of McCoy [PDF]

Mathematica Bohemica
We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings.
Rajendra Kumar Sharma, Amit B. Singh
doaj   +1 more source