Results 11 to 20 of about 184 (133)

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

On centralizers of semiprime rings [PDF]

Aequationes Mathematicae, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vukman, Joso, Kosi-Ulbl, Irena
openaire   +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

On rings of quotients of semiprime $\Gamma$-rings [PDF]

Miskolc Mathematical Notes, 2012
In this paper, we investigate the rings of quotients of a semiprime Gamma-ring.
Koc, Emine, Golbasi, Oznur
openaire   +3 more sources

On Multiplicative (Generalized)‐Derivation Involving Semiprime Ideals

Journal of Mathematics, Volume 2023, Issue 1, 2023., 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. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various ...
Hafedh M. Alnoghashi, Sabah Naji, Nadeem ur Rehman, Li Guo   +3 more
wiley   +1 more source

Centrally Extended α‐Homoderivations on Prime and Semiprime Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings.
Mahmoud M. El-Soufi, A. Ghareeb, Carmelo Antonio Finocchiaro   +2 more
wiley   +1 more source

Cryptographic Accumulator and Its Application: A Survey

Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022
Since the concept of cryptographic accumulators was first proposed in 1993, it has received continuous attention from researchers. The application of the cryptographic accumulator is also more extensive. This paper makes a systematic summary of the cryptographic accumulator.
Yongjun Ren, Xinyu Liu, Qiang Wu, Ling Wang, Weijian Zhang, Stelvio Cimato   +5 more
wiley   +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

Strongly semiprime rings [PDF]

Pacific Journal of Mathematics, 1975
For a ring with 1, we show that every proper kernel functor generates a proper torsion radical if and only if the ring is a finite subdirect product of strongly prime (also called ATF) rings. This is equivalent to every essential right ideal containing a finite set whose right annihilator is zero.
openaire   +2 more sources