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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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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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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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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, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A review on algebraic extensions in general relativity
Astronomische Nachrichten, 2021Peter O Hess
exaly
Intuitionistic Fuzzy Algebraic Field Extensions
Lecture Notes in Networks and Systems, 2023Said Melliani
exaly
On the implicit constant fields and key polynomials for valuation algebraic extensions
Journal of Commutative Algebra, 2022Arpan Dutta
exaly
Polynomial Gcd Computations over Towers of Algebraic Extensions
International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 1995M. M. Maza, R. Rioboo
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