Results 231 to 240 of about 3,460 (267)
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Mapping Extension of an Algebra
Algebra Colloquium, 2009A new construction of algebras called a mapping extension of an algebra is here introduced. The construction yields a generalization of some classical constructions such as the nilpotent extension of an algebra, inflation of a semigroup but also the square extension construction introduced recently for idempotent groupoids.
Marczak, Adam W., Płonka, Jerzy
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Soft Computing, 2003
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An algebraic extension to LISP
Proceedings of the November 18-20, 1969, fall joint computer conference on - AFIPS '69 (Fall), 1969An algebraic facility for LISP is quite desirable. Such a capability is motivated by the desire to utilize the primitive LISP arithmetic functions at the algebraic expression level. The requirement for a means of evaluating expressions might very well arise from applications in algebraic manipulation.
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On the Extensions of Lie Algebras
Canadian Journal of Mathematics, 1968In this paper we give some results on the extensions of Lie algebras, with emphasis on the case of prime characteristic, although part of the paper is also of interest at characteristic 0. An extension of a Lie algebra L is a pair (E, π), where £ is a Lie algebra and π is a homomorphism of E onto L. The kernel K of the extension is ker π.
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Algebraic extensions of semifields
Russian Mathematical Surveys, 2004A semifield is a semiring \((D,+,\bullet)\) such that each nonzero element is invertible with repect to multiplication and is not invertible with respect to addition. In this paper, the author examines the possibility of extending a semifield by a root of an algebraic equation. Let \(D\) denote a semifield. Then \(D\) is called idempotent (cancellable)
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Lie Algebra Extensions of the Poincaré Algebra
Journal of Mathematical Physics, 1967The ``linear'' counterpart of the problem of analytic group extensions of the Poincaré group is presented in terms of the considerably simpler (but less general) analysis of Lie algebra extensions of the Poincaré algebra P. After easily proving with this technique that every C kernel (P, θ) has an extension and that every such extension is inessential,
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Ore Extensions of Hopf Algebras
Mathematical Notes, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intuitionistic Fuzzy Algebraic Field Extensions
Lecture Notes in Networks and Systems, 2023Melliani S, Elomari M, M Elomari
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On the implicit constant fields and key polynomials for valuation algebraic extensions
Journal of Commutative Algebra, 2022Arpan Dutta
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Analytical Algebra: Extension of Relational Algebra
2022Jakub Peschel +2 more
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