Results 21 to 30 of about 426,383 (324)
Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
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A Combinatorial Discussion on Finite Dimensional Leavitt Path Algebras [PDF]
, 2012 Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings.
Esin, Songul +7 more
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On the derivations of cyclic Leibniz algebras
Karpatsʹkì Matematičnì Publìkacìï, 2022 Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
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Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic
A.A. Ibrayeva
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Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
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On the constructions of Tits and Faulkner: an isomorphism theorem
International Journal of Mathematics and Mathematical Sciences, 2001 Classification theory guarantees the existence of an isomorphism between any two E8's, at least over an algebraically closed field of characteristic 0.
Sudhir R. Nath
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ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP
Наука и техника, 2006 It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.
M. B. Smirnov
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HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]
Journal of Hyperstructures, 2017 Intuitionistic Logic was introduced by L. E. J. Brouwer in[1] and Heyting algebra was defined by A. Heyting to formalize the Brouwer’s intuitionistic logic[4]. The concept of Heyting algebra has been accepted as the basis for intuitionistic propositional
Sinem Tarsuslu(Yılmaz) +1 more
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Almost Settling the Hardness of Noncommutative Determinant [PDF]
, 2011 In this paper, we study the complexity of computing the determinant of a matrix over a non-commutative algebra. In particular, we ask the question, "over which algebras, is the determinant easier to compute than the permanent?" Towards resolving this ...
Chien, Steve +3 more
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