Results 241 to 250 of about 681,600 (315)

Topologically Algebraic Algebras

Mediterranean Journal of Mathematics, 2004
Let \(A\) be a complex topological algebra and \(H(\mathbb{C})\) the algebra of all complex-valued entire functions. An element \(x\) in \(A\) is said to be topologically algebraic if all entire functions operate in \(A\) at the point \(x\) and if there exists a nonzero entire function \(f\) in \(H(\mathbb{C})\) such that \(f(x)=0\).
Choukri, Rachid, Attioui, Abdelbaki
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Wajsberg algebras and post algebras

Studia Logica, 1994
An algebra \(A= \langle A,\to,\neg\rangle\) is said to be a Wajsberg algebra if it satisfies the following equations: \[ \begin{aligned} (a\to b)\to b&= b \\ (a\to b)\to((b\to c)\to (a\to c))&= a\to a \\ (a\to b)\to b&= (b\to a)\to a \\ (\neg a\to \neg b)\to (b\to a)&= a\to a \end{aligned} \] Any finite subdirectly irreducible Wajsberg algebra is ...
Antonio J. Rodríguez Salas, Antoni Torrens   +1 more
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ALGEBRAIC GEOMETRY FOR MV-ALGEBRAS

The Journal of Symbolic Logic, 2014
AbstractIn this paper we try to apply universal algebraic geometry to MV algebras, that is, we study “MV algebraic sets” given by zeros of MV polynomials, and their “coordinate MV algebras”. We also relate algebraic and geometric objects with theories and models taken in Łukasiewicz many valued logic with constants.
Lawrence P. Belluce, DI NOLA, Antonio, LENZI, Giacomo   +2 more
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Geometric Algebra

Advanced Calculus Fundamentals of Mathematics, 2019
algebra is the study of algebraic structures and include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of ...
Derek Doran
semanticscholar   +1 more source

Algebraic invariants and their differential algebras

Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 2010
We review the algebraic foundations we developed to work with differential invariants of finite dimensional group actions. Those support the algorithms we introduced to operate symmetry reduction with a view towards differential elimination.
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ITERATION ALGEBRAS

International Journal of Foundations of Computer Science, 1992
We assume the reader has some familiarity with theories and iteration theories. The main topic of the paper is properties of varieties of iteration algebras. After a preliminary section which contains all of the necessary definitions, we spend some time on a coproduct construction which is needed to prove a fundamental lemma: for each iteration theory
Stephen L. Bloom, Zoltán Ésik
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Algebras with Identical Algebraic Sets

Algebra and Logic, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Algebra Related To the Algebra of Octaves Or Cayley Algebra

Journal of the London Mathematical Society, 1965
The author considers an eight-dimensional algebra over an arbitrary commutative field \(K\). If \(K\) is a field in which \(-1\) is a square, this algebra is isomorphic with the ordinary Cayley algebra over \(K\). Over the field in which \(-1\) is not a square, the two algebras are not all the same. In no case it is a division algebra.
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HYPERGROUP ALGEBRAS AS TOPOLOGICAL ALGEBRAS

Bulletin of the Australian Mathematical Society, 2014
AbstractLet$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}K$be a locally compact hypergroup endowed with a left Haar measure and let$L^1(K)$be the usual Lebesgue space of$K$with respect ...
Maghsoudi, S., Seoane-Sepúlveda, J. B.
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