Results 41 to 50 of about 122,674 (274)
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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Continuity in Information Algebras
, 2012 In this paper, the continuity and strong continuity in domain-free information algebras and labeled information algebras are introduced respectively.
Guan, Xuechong, Li, Yongming
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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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On Free Pseudo-Product Fundamental Graded Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2012 In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the prolongations of complex free pseudo ...
Tomoaki Yatsui
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Free Algebras Over a Poset in Varieties of Łukasiewicz–Moisil Algebras
Demonstratio Mathematica, 2015 A general construction of the free algebra over a poset in varieties finitely generated is given in [8]. In this paper, we apply this to the varieties of Łukasiewicz-Moisil algebras, giving a detailed description of the free algebra over a finite poset ...
Orellano A. Figallo, Gallardo C.
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The Algebraic Sets of Broad Algebras
Известия Иркутского государственного университета: Серия "Математика", 2020 The paper is devoted to the questions of algebraic geometry of universal algebras, more precisely, to the structures of algebraic sets of this algebras. It is introduced the concept of broad universal algebra.
A.G. Pinus
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Logical Methods in Computer Science, 2013 The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of this comonad are the topic of study in this paper (following earlier work).
Bart Jacobs
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A simultaneous generalization of independence and disjointness in boolean algebras
, 2011 We give a definition of some classes of boolean algebras generalizing free boolean algebras; they satisfy a universal property that certain functions extend to homomorphisms. We give a combinatorial property of generating sets of these algebras, which we
Corey Thomas Bruns +9 more
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Structure of Divergence-Free Lie Algebras
, 2000 One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polynomial algebras and the operators of taking partial derivatives, connected ...
Su, Yucai, Xu, Xiaoping
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