Results 21 to 30 of about 1,381 (158)

On prime and semiprime near-rings with derivations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
Nurcan Argaç
doaj   +1 more source

Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms

open access: yesМатематичні Студії, 2020
Let R be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of R that act as n-homomorphism or n-antihomomorphism on nonzero ideals of R.
G.S. Sandhu
doaj   +1 more source

n-Homomorphisms

open access: yes, 2004
Let $\mathcal A$ and $\mathcal B$ be two (complex) algebras. A linear map $ :{\mathcal A}\to{\mathcal B}$ is called $n$-homomorphism if $ (a_{1}... a_{n})= (a_{1})... (a_{n})$ for each $a_{1},...,a_{n}\in{\mathcal A}.$ In this paper, we investigate $n$-homomorphisms and their relation to homomorphisms.
Hejazian, S.   +2 more
openaire   +2 more sources

Generalized Rough Γ-Hyperideals in Γ-Semihypergroups

open access: yesJournal of Applied Mathematics, 2014
Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations.
Naveed Yaqoob, Shamsul Haq
doaj   +1 more source

Characterizations of derivations [PDF]

open access: yes, 2019
The main purpose of this work is to characterize derivations through functional equations. This work consists of five chapters. In the first one, we summarize the most important notions and results from the theory of functional equations. In Chapter 2 we
Gselmann, Eszter
core   +2 more sources

CONTINUITY OF UNIVERSALLY MEASURABLE HOMOMORPHISMS

open access: yesForum of Mathematics, Pi, 2019
Answering a longstanding problem originating in Christensen’s seminal work on Haar null sets [Math. Scand. 28 (1971), 124–128; Israel J. Math. 13 (1972), 255–260; Topology and Borel Structure.
CHRISTIAN ROSENDAL
doaj   +1 more source

STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS

open access: yesForum of Mathematics, Sigma, 2020
Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $\text{Sym}(n)$ (in the sofic case) or the finite-dimensional unitary ...
MARCUS DE CHIFFRE   +3 more
doaj   +1 more source

Homomorphic Preimages of Geometric Paths

open access: yesDiscussiones Mathematicae Graph Theory, 2018
A graph G is a homomorphic preimage of another graph H, or equivalently G is H-colorable, if there exists a graph homomorphism f : G → H. A geometric graph Ḡ is a simple graph G together with a straight line drawing of G in the plane with the vertices in
Cockburn Sally
doaj   +1 more source

On Classification of Semigroup N by Green’s Theorem

open access: yesJournal of Mathematics, 2022
In previous papers, it has been recently defined a new class of semigroups based on both Rees matrix and completely 0-simple semigroups. For this new structure, it has been introduced with certain basic properties and finiteness conditions. The main goal
Suha Wazzan, Nurten Urlu Ozalan
doaj   +1 more source

A note on n-Jordan homomorphisms

open access: yesМатематичні Студії
{Let $ A, B $ be two rings and $ n\geqslant 2 $ be an integer. An additive map $ h\colon A\rightarrow B $ is called an $n$-Jordan homomorphism if $ h(x^{n})=h(x)^{n} $ for all $ x\in A;$ $h$ is called an n-homomorphism or an anti-$n$-homomorphism if $ h(\
M. El Azhari
doaj   +1 more source

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