Results 11 to 20 of about 2,863 (195)

On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

Journal of Mathematics, 2023
Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities.
Hafedh M. Alnoghashi, Sabah Naji, Nadeem ur Rehman   +2 more
doaj   +2 more sources

Centralizing n-Homoderivations of Semiprime Rings

Journal of Mathematics, 2022
We introduce the notion of n-homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n-homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses,
M. S. Tammam El-Sayiad, A. Ageeb, A. Ghareeb   +2 more
doaj   +2 more sources

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
doaj   +2 more sources

Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]

Comput Intell Neurosci, 2022
The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H, Qurashi SM, Rehman MU, Shabir M, Kanwal RS, Khalil AM.   +5 more
europepmc   +2 more sources

On Additivity and Multiplicativity of Centrally Extended α,β-Higher Derivations in Rings

International Journal of Mathematics and Mathematical Sciences
In this paper, the concept of centrally extended α,β-higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals.
O. H. Ezzat
doaj   +2 more sources

Generalized Munn rings

Open Mathematics, 2022
Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj   +1 more source

Semiprime near-rings [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991
AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
openaire   +3 more sources

THE SEMIPRIMENESS OF SEMIGROUP RINGS

JP Journal of Algebra, Number Theory and Applications, 2021
Yasuyuki Hirano, Brent B. Solie, Hisaya Tsutsui   +2 more
openalex   +3 more sources

Free actions on semiprime rings [PDF]

Mathematica Bohemica, 2008
Summary: We identify some situations where mappings related to left centralizers, derivations and generalized \((\alpha,\beta)\)-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation \(T\), of a semiprime ring \(R\) the mapping \(\psi\colon R\to R\) defined by \(\psi(x)=T(x)x-xT(x)\) for all \(x\in R\) is
Chaudhry, Muhammad Anwar, Samman, Mohammad S.   +1 more
openaire   +1 more source

Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]

Journal of Hyperstructures, 2017
In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt, SERKAN ONAR, Deniz S¨onmez, Bayram Ersoy   +3 more
doaj   +1 more source