On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1710163
Abstract: Abstract We develop a method to construct all the indecomposable involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation with a prime-power number of elements and cyclic permutation group. Moreover, we give a complete classification of… read more here.
Keywords: solutions yang; baxter equation; theoretic solutions; indecomposable involutive ... See more keywords
Classification of indecomposable involutive set-theoretic solutions to the Yang–Baxter equation
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0274
Abstract: Abstract Using the theory of cycle sets and braces, non-degenerate indecomposable involutive set-theoretic solutions to the Yang–Baxter equation are classified in terms of their universal coverings and their fundamental group. The universal coverings are characterized… read more here.
Keywords: solutions yang; involutive set; indecomposable involutive; theoretic solutions ... See more keywords
Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces
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DOI: 10.1515/forum-2020-0082
Abstract: Abstract This paper aims to introduce a construction technique of set-theoretic solutions of the Yang–Baxter equation, called strong semilattice of solutions. This technique, inspired by the strong semilattice of semigroups, allows one to obtain new… read more here.
Keywords: solutions yang; semi braces; baxter equation; theoretic solutions ... See more keywords
Game-Theoretic Solutions for Data Offloading in Next Generation Networks
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DOI: 10.3390/sym10080299
Abstract: In recent years, global mobile data traffic has seen an unprecedented increase. This is due to worldwide usage of smart devices, availability of fast internet connections, and the popularity of social media. The Mobile Network… read more here.
Keywords: solutions data; traffic; game; theoretic solutions ... See more keywords