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Algebraic translation algebras

open access: yesAlgebraic translation algebras
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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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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
Bloom, Stephen L., Ésik, Zoltán
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Algebraic partial Boolean algebras

Journal of Physics A: Mathematical and General, 2003
Partial Boolean algebras are algebraic in this paper in the sense that their elements have coordinates in an algebraic number field. Within this context the author shows that every algebraic finitely-generated partial Boolean algebra is finite when the underlying space is three-dimensional.
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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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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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Median algebras, Relation algebras, C-algebras

2003
For the first time, median algebras appeared in the late fourties. A.A. Grau [148] characterized Boolean algebras in terms of median operation and complementation, G. Birkhoff and S.A. Kiss [25] discusses the median operation for distributive lattices. The concept of abstract median algebra was introduced by S.P. Avann [12] and later M. Scholander [356]
Piergiulio Corsini, Violeta Leoreanu
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