On the Topological Semigroup of Equational Classes of Finite Functions Under Composition

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

Authors

Almeida, J (Author) FCUP; Couceiro, Miguel (Author) Other; Waldhauser, Tamas (Author) Other

Journal

Title: Journal of Multiple-Valued Logic and Soft Computing

Vol. 28 No. 1

Pages: 5-28

ISSN: 1542-3980

Publisher: Old City Publishing, Inc.

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00M-93Y

Abstract (EN): We consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite and we provide a description of its regular elements in the Boolean case.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24