2014/02/19 by N. D. Gilbert, Gilbert, N. D., E. A. McDougall +1
Computer Science · Mathematics · Biochemistry, Genetics and Molecular Biology · #semigroups and automata theory #Geometric and Algebraic Topology #Chemical Synthesis and Analysis
paper · pdf · doi:10.48550/arxiv.1402.4592
We present a construction for the holomorph of an inverse semigroup, derived from the cartesian closed structure of the category of ordered groupoids. We compare the holomorph with the monoid of mappings that preserve the ternary heap operation on an inverse semigroup: for groups these two constructions coincide. We present detailed calculations for semilattices of groups and for the polycyclic monoids.