Results 51 to 60 of about 61,116 (180)
Properties of non-associative MV-algebras [PDF]
Mathematica Slovaca, 2017 Abstract Non-associative MV-algebras (NMV-algebras) (A, ⊕, ¬, 0) were introduced in [CHAJDA, I.—KÜHR, J.: A non-associative generalization of MV-algebras, Math. Slovaca 57 (2007), 301–312]. In the present paper we prove some properties of these algebras, investigate when intervals of the form [a, 1] can be made into NMV-algebras in some
Chajda, Ivan, Länger, Helmut M.
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Useful Theorems on Commutative Non-associative Algebras [PDF]
Proceedings of the Edinburgh Mathematical Society, 1967 Recently J. M. Osborn has investigated the structure of a simple commutative non-associative algebra with unity element satisfying a polynomial identity, (4), (5) and (6). From his work it seems likely that if such an algebra is of degree three or more it is necessarily power-associative.
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Non-associative Kleene Algebra and Temporal Logics [PDF]
, 2017 We introduce new variants of Kleene star and omega iteration for the case where the iterated operator is neither associative nor has a neutral element. The associated repetition algebras are used to give closed semantic expressions for the Until and While operators of the temporal logic \(\mathsf {CTL}^*\) and its sublogics \(\mathsf {CTL}\) and ...
Desharnais, Jules, Möller, Bernhard
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A Natural Basis for Spinor and Vector Fields on the Noncommutative sphere
, 1997 The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger representation of su(2). This Algebra is quotiented by the square-root of the Casimir to produce a non-associative algebra denoted by $\Psi$.
Gratus, Jonathan
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Lifting Grobner bases from the exterior algebra
, 2000 In the article "Non-commutative Grobner bases for commutative algebras", Eisenbud-Peeva-Sturmfels proved a number of results regarding Grobner bases and initial ideals of those ideals in the free associative algebra which contain the commutator ideal. We
Andreas Nilsson +5 more
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Non-associative algebras of cubic matrices and their gauge theories
Journal of High Energy PhysicsMotivated by M-theory, we define a new type of non-associative algebra involving usual and cubic matrices at the same time. The resulting algebra can be regarded as a two-term truncated L ∞ algebra giving rise to a fundamental identity between the two ...
Ralph Blumenhagen +2 more
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SOME RESULTS ON NON-ASSOCIATIVE ALGEBRAS [PDF]
Bulletin of the Korean Mathematical Society, 2007 We define the non-associative algebra W (n, m, m + s) and we show that it is simple. We find the non-associative algebra automorphism group Autnon(W (1, 0, 0)) of W (1, 0, 0). Also we find that any derivation of W (1, 0, 0) is a scalar derivation in this paper.
Moon-Ok Wang +2 more
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Topology of quasi divisor graphs associated with non-associative algebra
Ain Shams Engineering JournalThe visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem +4 more
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Perturbative 4D conformal field theories and representation theory of diagram algebras
Journal of High Energy Physics, 2020 The correlators of free four dimensional conformal field theories (CFT4) have been shown to be given by amplitudes in two-dimensional so(4, 2) equivariant topological field theories (TFT2), by using a vertex operator formalism for the correlators.
Robert de Mello Koch, Sanjaye Ramgoolam
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Automorphic Orbits in Free Non-associative Algebras
Journal of Algebra, 2001 Let \(A\) denote a free finitely generated algebra in one of the following three varieties of (non-associative) algebras over a field \(F\): all algebras, all commutative algebras (in which case char \(F\neq 2\)), all anti-commutative algebras. A system of elements of \(A\) is said to be primitive if it is contained in some set of free generators of ...
Yu, JT, Mikhalev, AA, Umirbaev, U
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