Results 41 to 50 of about 1,412 (138)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.
Saeid Arsham Borumand +2 more
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Bialgebras overs another bialgebras and quasishuffle double bialgebras
, 2022 Quasishuffle Hopf algebras, usually defined on a commutative monoid, can be more generally defined on any associative algebra V. If V is a commutative and cocommutative bialgebra, the associated quasishuffle bialgebra QSh(V) inherits a second coproduct $δ$ of contraction and extraction of words, cointeracting with the deconcatenation coproduct $Δ ...
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Quantization of Lie bialgebras, II [PDF]
Selecta Mathematica, 1996 40 pages, amstex. The new version contains several changes throughout the paper suggested by the referee of Selecta Math. In particular, Chapter 10 (functoriality of quantization) is completely rewritten to make the exposition more clear and precise; the May 2016 version points out an error in the proof of Prop. 9.7 found by A.
Etingof, Pavel, Kazhdan, David
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Incidence Bialgebras of Monoidal Categories [PDF]
, 2021 Incidence coalgebras of categories as defined by Joni and Rota are studied, specifically in cases where a strict monoidal product on the underlying category turns the incidence coalgebra into a bialgebra or weak bialgebra.
Rotheray, Lucia Alessandra
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Physical constraints on quantum deformations of spacetime symmetries
Nuclear Physics B, 2018 In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincaré, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent the centerpiece
Flavio Mercati, Matteo Sergola
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Strongly Homotopy Lie Bialgebras and Lie Quasi-bialgebras [PDF]
Letters in Mathematical Physics, 2007 Structures of Lie algebras, Lie coalgebras, Lie bialgebras and Lie quasibialgebras are presented as solutions of Maurer-Cartan equations on corresponding governing differential graded Lie algebras using the big bracket construction of Kosmann-Schwarzbach.
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Intuitionistic Fuzzy Subbialgebras and Duality
Journal of Applied Mathematics, 2014 We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy ...
Wenjuan Chen, Bijan Davvaz
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On Graded Bialgebra Deformations [PDF]
Algebra Colloquium, 2007 We introduce the graded bialgebra deformations, which explain the lifting method of Andruskiewitsch and Schneider. We also relate these graded bialgebra deformations with the corresponding graded bialgebra cohomology groups, which is the graded version of the one due to Gerstenhaber and Schack.
Du, Yu, Chen, Xiaowu, Ye, Yu
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Biquantization of Lie bialgebras [PDF]
Pacific Journal of Mathematics, 2000 67 pages, no ...
Kassel, Christian, Turaev, Vladimir
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