Results 71 to 80 of about 12,793,786 (229)
A matched space for time scales and applications to the study on functions
In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational ...
Chao Wang +2 more
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Algebraic structure of classical integrability for complex sine-Gordon
The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$.
Jean Avan, Luc Frappat, Eric Ragoucy
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On the mathematical synthesis of equational logics [PDF]
We provide a mathematical theory and methodology for synthesising equational logics from algebraic metatheories. We illustrate our methodology by means of two applications: a rational reconstruction of Birkhoff's Equational Logic and a new equational ...
Marcelo Fiore, Chung-Kil Hur
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The structure of imprimitivity algebras
AbstractWe show that there exists a tensor product decomposition, analogous to that of the Takesaki-Takai duality theorem, for the imprimitivity algebras which arise in the theory of induced representations of twisted covariance algebras and derive consequences for the structure of group C∗-algebras and transformation group C∗-algebras.
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ALGEBRAIC STRUCTURES ON A SET OF DISCRETE DYNAMICAL SYSTEM AND A SET OF PROFILE
A discrete dynamical system is represented as a directed graph with graph nodes called states that can be seen on the dynamical map. This discrete dynamical system is symbolized by , where is a finite set of states and the function g is a function ...
Ananda Ayu Permatasari +2 more
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Smarandache Algebraic Structures [PDF]
A few notions are introduced in algebra in order to better study the congruences. Especially the Smarandache semigroups are very important for the study of congruences.
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Computable embedding of classes of algebraic structures with congruence relation
It has been shown in the paper that there is an intermediate notion of embedding, which is based on the use of non-injective presentations of algebraic structures, between the computable embedding of classes of algebraic structures based on the ...
S. Vatev, H. Ganchev, I.Sh. Kalimullin
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(t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited) [PDF]
This paper is an improvement of our paper “(t, i, f)-Neutrosophic Structures” [1], where we introduced for the first time a new type of structures, called (t, i, f)Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed ...
Florentin Smarandache
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Structure matrices of algebras
Let \({\mathcal A}\) be an Artinian algebra over a field F with basis \(A=\{a_ 1,...,a_ n\}\), and let \(\lambda\) and \(\rho\) be left and right regular representations of \({\mathcal A}\) respectively. Denote by tr(x) the trace of a square matrix x over F. Put \(\lambda_{ij}=tr(\lambda (a_ ia_ j))\), \(\rho_{ij}=tr(\rho (a_ ia_ j))\), and let \(L^ A=(
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Rational homotopy type of projectivization of the tangent bundle of certain spaces [PDF]
PurposeThe paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces.Design/methodology ...
Jean Baptiste Gastinzi, Meshach Ndlovu
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