A METHOD FOR THE CONSTRUCTION OF COMPLETE CONGRUENCES ON LATTICES OF PSEUDOVARIETIES

Authors
Citation
K. Auinger, A METHOD FOR THE CONSTRUCTION OF COMPLETE CONGRUENCES ON LATTICES OF PSEUDOVARIETIES, Journal of pure and applied algebra, 126(1-3), 1998, pp. 1-17
Citations number
29
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
ISSN journal
00224049
Volume
126
Issue
1-3
Year of publication
1998
Pages
1 - 17
Database
ISI
SICI code
0022-4049(1998)126:1-3<1:AMFTCO>2.0.ZU;2-X
Abstract
We present a method for the construction of complete congruences on la ttices of pseudovarieties, thereby generalizing and unifying the conce pt of radical congruence system and other constructions invented by Pe trich and Reilly. For similarly defined classes such as varieties, gen eralized varieties, quasivarieties, existence varieties, etc., similar methods can be obtained. (C) 1998 Elsevier Science B.V.