Results 21 to 30 of about 1,381 (158)
On prime and semiprime near-rings with derivations
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
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Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms
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
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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
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Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
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
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Characterizations of derivations [PDF]
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
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CONTINUITY OF UNIVERSALLY MEASURABLE HOMOMORPHISMS
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
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STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS
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
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Homomorphic Preimages of Geometric Paths
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
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On Classification of Semigroup N by Green’s Theorem
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
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A note on n-Jordan homomorphisms
{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
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