2021/10/27 by Ivana Đurđev Brković, Brković, Ivana Đurđev
Computer Science · Mathematics · #05E16 (Secondary) #20M17 #20M20 (Primary) 20M10 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings and Algebras (math.RA) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2110.14400
openalex publication_date 2021/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A variant of a semigroup S with respect to an element a∈ S is the semigroup Sa=(S,⋆a), where x⋆ay=xay for any x,y∈ S. Here, a is the sandwich element of Sa. In this article, we study variants of the partial Brauer monoid PBn for n∈ℕ. We give the classification of these variants in the case when the rank of the sandwich element is nonzero.