Results 61 to 70 of about 12,793,786 (229)
Algebraic structures on space-time algebra
Linear Algebra and its Applications, 1993 The real algebra of \(4\times 4\) matrices generated by Dirac's \(\gamma\)- matrices is a faithful representation of the real Clifford algebra of 4- dimensional Minkowski space-time \(M\) as a full matrix algebra. As found by D. Hestenes, it is possible to deal with the electromagnetic, the weak, and the strong fields in a matrix-free way by use of ...
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On a Varietal Structure of Algebras [PDF]
Transactions of the American Mathematical Society, 1975 Shafaat introduced two successive generalisations of the variety of algebras: namely the semivariety and the quasivariety. We study a slightly more generalised concept which we call a pseudovariety.
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Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]
Logical Methods in Computer Science, 2012 This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
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On the structure of axial algebras [PDF]
Transactions of the American Mathematical Society, 2019 Axial algebras are a recently introduced class of non-associative algebra motivated by applications to groups and vertex-operator algebras. We develop the structure theory of axial algebras focussing on two major topics: (1) radical and simplicity; and (2) sum decompositions.
Khasraw, Sanhan +2 more
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Cocientes algebraicos y Teoría de Invariantes Geométricos
Selecciones Matemáticas, 2020 The quotient of an algebraic variety by action of an algebraic group does not always has a variety structure. The aim of this work is to describe a methodfor constructing good quotients, in the sense of Geometric invariant theory, in algebraicgeometry.
Nélida Medina García
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The Structure of the Partition Algebras
Journal of Algebra, 1996 Some topics concerning the structure of the partition algebras \(P_n(Q)\) (Martin, 1990, 1994) for a complex number \(Q\) and natural number \(n\) being a generalization both of the Brauer algebra \(D_n(Q)\) (1973) and of the Temperley-Lieb algebra \(T_n(Q)\) (1971) are considered.
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Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations [PDF]
, 1998 An algebraic structure related to discrete zero curvature equations is established. It is used to give an approach for generating master symmetries of the first degree for systems of discrete evolution equations and an answer to why there exist such ...
W. Ma, B. Fuchssteiner
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An algebraic language for RNA pseudoknots comparison
BMC Bioinformatics, 2019 Background RNA secondary structure comparison is a fundamental task for several studies, among which are RNA structure prediction and evolution. The comparison can currently be done efficiently only for pseudoknot-free structures due to their inherent ...
Michela Quadrini +2 more
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Common algebraic structure for the Calogero - Sutherland models [PDF]
, 1996 We investigate a common algebraic structure for the rational and trigonometric Calogero - Sutherland models by using the exchange-operator formalism. We show that the set of Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal
Saburo Kakei
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PythagorasDeveloping structure sense is an important part of learning algebra. We investigated learners’ structure sense of algebraic expressions involving brackets. This led us to propose the constructs surface structure sense and systemic structure sense.
Nadia M. Theba +2 more
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