Results 21 to 30 of about 1,101 (266)
Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras [PDF]
Opuscula Mathematica, 2016 In this paper, by establishing free-probabilistic models on the Hecke algebras \(\mathcal{H}\left(GL_{2}(\mathbb{Q}_{p})\right)\) induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\), we construct free probability spaces for all primes \(p\).
Ilwoo Cho
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Homology, Homotopy and Applications, 2005 This note was originated many years ago as my reaction to questions of several people how free strongly homotopy algebras can be described and what can be said about the structure of the universal enveloping A(m)-algebra of an L(m)-algebra, and then circulated as a "personal communication." I must honestly admit that it contains no really deep result ...
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Finitely generated free Heyting algebras via Birkhoff duality and coalgebra [PDF]
Logical Methods in Computer Science, 2011 Algebras axiomatized entirely by rank 1 axioms are algebras for a functor and thus the free algebras can be obtained by a direct limit process. Dually, the final coalgebras can be obtained by an inverse limit process.
Nick Bezhanishvili, Mai Gehrke
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Free Pre-Lie Algebras are Free as Lie Algebras [PDF]
Canadian Mathematical Bulletin, 2010 AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
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Proceedings of the American Mathematical Society, 1959 A monadic (Boolean) algebra is a Boolean algebra A together with an operator 3 on A (called an existential quantifier, or, simply, a quantifier) such that 30=0, pfk 3p, and 3(^A 3q) = 3p* 3g whenever p and q are in A. Most of this note uses nothing more profound about monadic algebras than the definition. The reader interested in the motivation for and
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SATURATED FREE ALGEBRAS REVISITED [PDF]
The Bulletin of Symbolic Logic, 2015 AbstractWe give an exposition of results of Baldwin–Shelah [2] on saturated free algebras, at the level of generality of complete first order theoriesTwith a saturated modelMwhich is in the algebraic closure of an indiscernible set. We then make some new observations whenM isa saturated free algebra, analogous to (more difficult) results for the free ...
Pillay, Anand, Sklinos, Rizos
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Novel Free Differential Algebras for Supergravity
Universe, 2023 We develop the theory of Free Integro-Differential Algebras (FIDA) extending the powerful technique of Free Differential Algebras constructed by D. Sullivan. We extend the analysis beyond the superforms to integral- and pseudo-forms used in supergeometry.
Pietro Antonio Grassi
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Equivalential algebras with conjunction on the regular elements
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 We introduce the definition of the three-element equivalential algebra R with conjunction on the regular elements. We study the variety generated by R and prove the Representation Theorem.
Sławomir Przybyło
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Journal of High Energy Physics, 2020 We discuss a class of vertex operator algebras W m n × ∞ $$ {\mathcal{W}}_{\left.m\right|n\kern0.33em \times \kern0.33em \infty } $$ generated by a super- matrix of fields for each integral spin 1, 2, 3, . . . .
Miroslav Rapčák
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Free Rota-Baxter Family Algebras and Free (tri)dendriform Family Algebras
Algebras and Representation Theory, 2023 In this paper, we first construct the free Rota-Baxter family algebra generated by some set $X$ in terms of typed angularly $X$-decorated planar rooted trees. As an application, we obtain a new construction of the free Rota-Baxter algebra only in terms of angularly decorated planar rooted trees (not forests), which is quite different from the known ...
Yuanyuan Zhang +2 more
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