Results 41 to 50 of about 1,418 (162)
Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras
Mathematics, 2022 We introduce and discuss the notions of Rota–Baxter bialgebra equation systems and Rota–Baxter Hopf algebras. Then we construct a lot of examples based on Hopf quasigroups.
Yue Gu, Shuanhong Wang, Tianshui Ma
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Quantization of the Super‐BMS3 Algebra
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this article, we study quantization of super‐BMS3 algebra W. We quantize W by the Drinfel’d twist quantization technique and obtain a class of noncommutative and noncocommutative Hopf superalgebras.
Yu Yang, Xing Tao Wang, Francesco Toppan
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Weak Hopf Algebra and Its Quiver Representation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan +5 more
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Frontiers in Physics, 2017 Compact Closed categories and Frobenius and Bi algebras have been applied to model and reason about Quantum protocols. The same constructions have also been applied to reason about natural language semantics under the name: “categorical distributional ...
Mehrnoosh Sadrzadeh
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A Topological Perspective on Interacting Algebraic Theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
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Duality for exotic bialgebras [PDF]
Journal of Physics A: Mathematical and General, 2001 25 pages, LaTeX2e, using packages: cite, amsfonts, amsmath ...
Arnaudon, D. +3 more
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The Maschke‐Type Theorem and Morita Context for BiHom‐Smash Products
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 Let (H, αH, βH, ωH, ψH, SH) be a BiHom‐Hopf algebra and (A, αA, βA) be an (H, αH, βH)‐module BiHom‐algebra. Then, in this paper, we study some properties on the BiHom‐smash product A#H. We construct the Maschke‐type theorem for the BiHom‐smash product A#H and form an associated Morita context AH,AHAA#H,A#HAAH,A#H.
Bingliang Shen +2 more
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Interacting Bialgebras Are Frobenius [PDF]
, 2014 Bialgebras and Frobenius algebras are different ways in which monoids and comonoids interact as part of the same theory. Such theories feature in many fields: e.g. quantum computing, compositional semantics of concurrency, network algebra and component-based programming. In this paper we study an important sub-theory of Coecke and Duncan's ZX-calculus,
Filippo Bonchi +2 more
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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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