Results 61 to 70 of about 3,653,792 (195)
More on affine Dynkin quiver Yangians
Journal of High Energy Physics, 2023 We consider the quiver Yangians associated to general affine Dynkin diagrams. Although the quivers are generically not toric, the algebras have some similar structures.
Jiakang Bao
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Symmetric Polynomials in Free Associative Algebras—II
Mathematics, 2023 Let K⟨Xd⟩ be the free associative algebra of rank d≥2 over a field, K. In 1936, Wolf proved that the algebra of symmetric polynomials K⟨Xd⟩Sym(d) is infinitely generated.
Silvia Boumova +3 more
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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 ...
Anand Pillay, Rizos Sklinos
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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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Combinatorics of the Free Baxter Algebra [PDF]
The Electronic Journal of Combinatorics, 2006 We study the free (associative, non-commutative) Baxter algebra on one generator. The first explicit description of this object is due to Ebrahimi-Fard and Guo. We provide an alternative description in terms of a certain class of trees, which form a linear basis for this algebra.
Marcelo Aguiar, Walter Moreira
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Lie algebras: infinite generalizations and deformations [PDF]
, 1990 There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
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A Note on Solvable Polynomial Algebras [PDF]
Computer Science Journal of Moldova, 2014 In terms of their defining relations, solvable polynomial algebras introduced by Kandri-Rody and Weispfenning [J. Symbolic Comput., 9(1990)] are characterized by employing Gr\"obner bases of ideals in free algebras, thereby solvable polynomial ...
Huishi Li
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Free algebra structure: categorical algebras [PDF]
Bulletin of the Australian Mathematical Society, 1970 One of the more important concepts in the study of universal algebras is that of a free algebra. It is our purpose in this communication to describe the structure of the free algebra Kk() of k generators (k a positive integer) determined by a categorical algebra, and to indicate how this information encompasses results in such diverse areas as the ...
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Auslander algebras as quasi-hereditary algebras [PDF]
, 1989 Dlab V, Ringel CM. Auslander algebras as quasi-hereditary algebras. Journal of the London Mathematical Society : Ser. 2.
Dlab, Vlastimil, Ringel, Claus Michael
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Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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