We consider one dimensional block cellular automata, where the local update rules are
given by Yang-Baxter maps, which are set theoretical solutions of the Yang-Baxter …

The main aim of this paper is to provide set-theoretical solutions of the Yang-Baxter equation
that are not necessarily bijective, among these new idempotent ones. In the specific, we …

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 …

Abstract The Yang–Baxter and pentagon equations are two well-known equations of
Mathematical Physic. If S is a set, a map s: S * S → S * S s: S× S→ S× S is said to be a set …

Abstract Time-variant Yang-Baxter-like matrix equation (YBLME) with the disturbances of
noises is the hotspot in various scientific disciplines. The existing research, either can not …

Given a set-theoretic solution (X,r) of the Yang–Baxter equation, we denote by M=M(X,r) the
structure monoid and by A=A(X,r), respectively A'=A'(X,r), the left, respectively right, derived …

Young tableaux carry an associative product, described by the Schensted algorithm. They
thus form a monoid Pl, called plactic. It is central in numerous combinatorial and algebraic …

Abstract The Yang-Baxter equation is one of the essential equations in mathematical
physics, initially appearing in both quantum and statistical mechanics. The problem of …

Jonathan Leech graduated from the University of Hawaii and earned a PhD at the University
of California, Los Angeles. He has taught mathematics at the University of Tennessee, later …

Free dcpo semigroups play an important role in modeling the semantics of nondeterministic
programming languages. In this paper, we provide concrete constructions for free dcpo …