Results 261 to 270 of about 449,654 (297)

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
openaire   +2 more sources

Extensions of MV-algebras

Soft Computing, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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.
openaire   +2 more sources

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)
openaire   +1 more source

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.
openaire   +1 more source

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,
openaire   +2 more sources

Ore Extensions of Hopf Algebras

Mathematical Notes, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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
openaire   +1 more source

A review on algebraic extensions in general relativity

Astronomische Nachrichten, 2021
Peter Bechstedt
exaly  

Algebraic extensions of prime algebras and algebras of quotients

1986
Summary: Let F be a field, \(R\supset B\) be F-algebras such that for every element \(x\in R\) there is a polynomial f(t) with f(x)\(\in B\). The following results are proved: If R is prime and has no nonzero algebraic one-sided ideals, then B is prime with no nonzero algebraic one-sided ideals; if moreover R is noncommutative, then the algebras of ...
openaire   +1 more source