Ockham algebras with pseudocomplementation

The variety pO consists of those algebras (L; ⋀, ⋁, f,*, 0,1) of type (2,2,1,1,0,0) where (L; ⋀, ⋁, f, 0,1) is an Ockham algebra, (Z; ⋀, ⋁,*, 0,1) is a p-algebra, and the unary operations f and * commute. We describe completely the structure of the subdirectly irreducible algebras that belong to the...

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Bibliographic Details
Published in:Communications in algebra 1997-01, Vol.25 (11), p.3605-3615
Main Authors: Blyth, T.S., Fang, jie, Varlet, J.C.
Format: Article
Language:English
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Summary:The variety pO consists of those algebras (L; ⋀, ⋁, f,*, 0,1) of type (2,2,1,1,0,0) where (L; ⋀, ⋁, f, 0,1) is an Ockham algebra, (Z; ⋀, ⋁,*, 0,1) is a p-algebra, and the unary operations f and * commute. We describe completely the structure of the subdirectly irreducible algebras that belong to the subclass pK 1,1, characterised by the property f 3 = f.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927879708826073