Abelian kernels of some monoids of injective partial transformations and an application

• Type: Article in International Scientific Journal
• Date: 2000

Authors

delgado, m (Author) FCUP; fernandes, vh (Author) Other

Journal

Title: Semigroup Forum

Vol. 61

Pages: 435-452

ISSN: 0037-1912

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 16 Citations

Scopus - 16 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-YNY

DOI: 10.1007/s002330000033

Abstract (EN): In this paper we compute the abelian kernels of the monoids POIn, and POPIn, of all injective order preserving and respectively, orientation preserving, partial transformations on a chain with n elements. As an application, we show that the pseudovariety POPI generated by the monoids POPIn (n is an element of N) is not contained in the Mal'cev product of the pseudovariety POI generated L-S' the monoids POIn (n is an element of N) with the pseudovariety hb of all finite abelian groups.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18