Results 261 to 270 of about 34,528,690 (304)

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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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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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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A Jordan Algebra of a Mal’tsev Algebra

Journal of Mathematical Sciences, 2023
This study generalizes the Jordan algebra of a Lie algebra and the existing results on the local finite-dimensionality of Lie PI-algebras with an algebraic adjoint representation to Mal'tsev algebras. It illustrates that Jordan algebras of a Mal'tsev algebra inherit nondegeneracy and strong primeness.
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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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