2000 character limit reached
Combinatorial results for certain semigroups of order-decreasing partial isometries of a finite chain (1702.04485v1)
Published 15 Feb 2017 in math.GR
Abstract: Let ${\cal I}_n$ be the symmetric inverse semigroup on $X_n = {1, 2, \ldots , n}$ and let ${\cal DDP}_n$ and ${\cal ODDP}_n$ be its subsemigroups of order-decreasing partial isometries and of order-preserving and order-decreasing partial isometries of $X_n$, respectively. In this paper we investigate the cardinalities of some equivalences on ${\cal DDP}_n$ and ${\cal ODDP}_n$ which lead naturally to obtaining the order of the semigroups
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
