The matched product of set-theoretical solutions of the Yang-Baxter equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.07.012
Abstract: Abstract In this work, we develop a novel construction technique for set-theoretical solutions of the Yang-Baxter equation. Our technique, named the matched product, is an innovative tool to construct new classes of involutive solutions as… read more here.
Keywords: product; solutions yang; yang baxter; set theoretical ... See more keywords
Set-theoretical solutions of the pentagon equation on groups
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DOI: 10.1080/00927872.2019.1632331
Abstract: Abstract Let M be a set. A set-theoretical solution of the pentagon equation on M is a map such that where and and τ is the flip map, i.e., the permutation on M × M given by… read more here.
Keywords: theoretical solutions; set theoretical; solutions pentagon; equation groups ... See more keywords
Tersect: a set theoretical utility for exploring sequence variant data
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DOI: 10.1093/bioinformatics/btz634
Abstract: SUMMARY Comparing genomic features among a large panel of individuals across the same species is considered nowadays a core part of the bioinformatics analyses. This typically involves a series of complex theoretical expressions to compare,… read more here.
Keywords: set theoretical; variant data; tersect set; utility ... See more keywords
On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras
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DOI: 10.3390/axioms7010006
Abstract: In this work, we introduce Wajsberg algebras which are equivalent structures to MV-algebras in their implicational version, and then we define new notions and give new solutions to the set-theoretical Yang-Baxter equation by using Wajsberg… read more here.
Keywords: wajsberg algebras; set theoretical; baxter equation; solutions set ... See more keywords