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An algebraic extension to LISP

Proceedings of the November 18-20, 1969, fall joint computer conference on - AFIPS '69 (Fall), 1969
An 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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Algebraic extensions of semifields

Russian Mathematical Surveys, 2004
A 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, 1967
The ``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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The extension algebra

International Journal of Mathematical Education in Science and Technology, 1989
In this paper the concept of an extension subset is introduced. Some operations of an extension subset are studied, the concept of an extension algebra is presented, and fuzzy algebra is proved to be isomorphic to a proper subalgebra of an extension algebra.
Wang Hongxu, Zhang Hongchen
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Ore Extensions of Hopf Algebras

Mathematical Notes, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A review on algebraic extensions in general relativity

Astronomische Nachrichten, 2021
Peter O Hess
exaly  

Intuitionistic Fuzzy Algebraic Field Extensions

Lecture Notes in Networks and Systems, 2023
Said Melliani
exaly  

Polynomial Gcd Computations over Towers of Algebraic Extensions

International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 1995
M. M. Maza, R. Rioboo
semanticscholar   +1 more source

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