On uniformly continuous functions for some profinite topologies

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Pedro V. Silva (Author) FCUP; Jean-Eric Pin (Author) Other

Journal

Title: Theoretical Computer Science

Vol. 658

Pages: 246-262

ISSN: 0304-3975

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 5 Citations

Other information

Authenticus ID: P-00M-DH0

DOI: 10.1016/j.tcs.2016.06.013

Abstract (EN): Given a variety of finite monoids V, a subset of a monoid is a V-subset if its syntactic monoid belongs to V. A function between two monoids is V-preserving if it preserves V-subsets under preimages and it is hereditary V-preserving if it is W-preserving for every subvariety W of V. The aim of this paper is to study hereditary V-preserving functions when V is one of the following varieties of finite monoids: groups, p-groups, aperiodic monoids, commutative monoids and all monoids.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17