Results 161 to 170 of about 439,115 (199)

On an Algebraic Extension of A(E)

Mathematical Notes, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Batikyan B., Grigoryan S.
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Mapping Extension of an Algebra

Algebra Colloquium, 2009
A 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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Pro-pGalois Groups of Algebraic Extensions of Q

open access: yesJournal of Number Theory, 1997
For a prime numberpwe characterize the finitely generated maximal pro-pGalois groups of algebraic extensions of Q. This generalizes a characterization by Jensen and Prestel of the maximal abelian quotients of these Galois groups.
Ido Efrat
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Extensions of MV-algebras

Soft Computing, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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On the Extensions of Lie Algebras

Canadian Journal of Mathematics, 1968
In 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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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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Algebraic Extensions

Graduate Texts in Mathematics, 2002
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