Results 31 to 40 of about 852 (157)

Centrally Extended α‐Homoderivations on Prime and Semiprime Rings

open access: yesJournal 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   +2 more
wiley   +1 more source

Cryptographic Accumulator and Its Application: A Survey

open access: yesSecurity 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   +5 more
wiley   +1 more source

Smarandache near-rings [PDF]

open access: yes, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

Strongly semiprime rings [PDF]

open access: yesPacific 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

AN IDENTITY RELATED TO θ-CENTRALIZERS IN SEMIPRIME RINGS [PDF]

open access: yesJournal of Algebraic Systems, 2023
‎Let $R$ be a $ 2$-torsion-free semiprime ring and $\theta$ be an epimorphism of $R$‎. ‎In this paper‎, ‎under special hypotheses‎, we prove that if $T‎: ‎R\longrightarrow R$‎ ‎is an additive mapping such that‎‎$‎‎$‎‎T(xyx)=θ(x)T(y)θ(x)‎,‎$‎‎$‎‎holds for
Abbas Zivari-Kazempour
doaj   +1 more source

On Semiprime P.I. Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the ...
openaire   +2 more sources

A note on Jordan left *-centralizers on prime and semiprime rings with involution

open access: yesJournal 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   +1 more source

NEUTROSOPHIC RINGS [PDF]

open access: yes, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy   +2 more
core   +1 more source

On a theorem of McCoy [PDF]

open access: yesMathematica 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

New characterization theorems of the mp-quantales [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2021
The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
doaj   +1 more source

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