Sierpi\'nski rank of the Symmetric inverse semigroup

Autor:	Hyde, James T., Péresse, Yann
Rok vydání:	2012
Předmět:	Mathematics - Group Theory Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	We show that every countable set of partial bijections from an infinite set to itself can be obtained as a composition of just two such partial bijections. This strengthens a result by Higgins, Howie, Mitchell and Ru\v{s}kuc stating that every such countable set of partial bijections may be obtained as the composition of two partial bijections and their inverses.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1211.6284 Zobrazit plný text záznamu View this record from Arxiv