Monoids respecting n-chains of intervals

• Type: Article in International Scientific Journal
• Date: 1997

Authors

Almeida, J (Author) FCUP; Higgins, PM (Author) Other

Journal

Title: Journal of Algebra

Vol. 187

Pages: 183-202

ISSN: 0021-8693

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 10 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-CN4

DOI: 10.1006/jabr.1997.6783

Abstract (EN): A new strict hierarchy for the pseudovariety of aperiodic monoids is described. The nth level of the hierarchy is the pseudovariety of all divisors of monoids of full transformations of finite chains respecting some n-chain of intervals. The levels can be obtained by iterated semidirect product of the first level. The associated hierarchy corresponding to taking partial transformations is also considered and appears intermingled with the above hierarchy. (C) 1997 Academic Press

Language: English

Type (Professor's evaluation): Scientific