OCKHAM ALGEBRAS WITH PSEUDOCOMPLEMENTATION

Authors
BLYTH TS FANG J VARLET JC
Citation
Ts. Blyth et al., OCKHAM ALGEBRAS WITH PSEUDOCOMPLEMENTATION, Communications in algebra, 25(11), 1997, pp. 3605-3615
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
25
Issue
11
Year of publication
1997
Pages
3605 - 3615
Database
ISI
SICI code
0092-7872(1997)25:11<3605:OAWP>2.0.ZU;2-1
Abstract
The variety pO consists of those algebras (L; boolean AND, boolean OR, f, 0, 1) of type (2, 2, 1, 1, 0, 0) where (L; boolean AND, boolean O R, f, 0, 1) is an Ockham algebra, (L; boolean AND, boolean OR, 0, 1) i s a p-algebra, and the unary operations f and commute. We describe c ompletely the structure of the subdirectly irreducible algebras that b elong to the subclass pK(1,1), characterised by the property f(3) = f.