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Topologically Algebraic Algebras [PDF]
Mediterranean Journal of Mathematics, 2004 We show that a locally convex algebra is topologically algebraic if, and only if, it is algebraic.
Abdelbaki Attioui, Rachid Choukri
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Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra) [PDF]
, 2011 Operator algebras play a fundamental role in algebraic quantum field theory. In order to understand this, one has first to understand the crucial algebraic structures of the Euclidean space. The point is that relevant products possess an invariant meaning, that is, they are independent of the choice of a basis of the Euclidean space.
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1995
TSQL2 is a declarative query language, and as such, requires a procedural (algebraic) equivalent for implementation. In this chapter, we describe such an algebraic language. We undertook this design in order to show that TSQL2 can be implemented efficiently, with minimal extension of existing techniques.
Soo, M. D. +2 more
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TSQL2 is a declarative query language, and as such, requires a procedural (algebraic) equivalent for implementation. In this chapter, we describe such an algebraic language. We undertook this design in order to show that TSQL2 can be implemented efficiently, with minimal extension of existing techniques.
Soo, M. D. +2 more
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Duplicated Algebras of Algebras
1994A duplicated Malcev algebra is constructed from a Malcev algebra M and a nonassociative algebra N by using a representation of M into N and an alternative bilinear mapping of N into M satisfying some conditions. It is shown that the representations of alternative algebra A, Malcev algebra M, Lie triple system T induce the representations of duplicated ...
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