Bases of quasiidentities of finite distributive p-algebras
type: Item
instance of: scholarly article
title: Bases of quasiidentities of finite distributive p-algebras
zbMATH Open document ID: 0671.06006
DOI: 10.1007/BF01980242
author: M. P. Tropin
published in: Algebra and Logic
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187396
review text: A p-algebra \(<A;\vee,\wedge,*,0,1>\) is a distributive lattice \(<A;\vee,\wedge,0,1>\) with zero 0 and unit element 1, where * is pseudo- complementation. The author proves the following remarkable result: Every finite p-algebra with more than one element can be embedded in a finite p-algebra that has no finite bases for its quasi-identities.
Mathematics Subject Classification ID: 06D15
zbMATH DE Number: 4097444
zbMATH Keywords: pseudo-complementation
zbMATH Keywords: finite p-algebra
MaRDI profile type: Publication
cites work: Covers in lattices of quasivarieties and independent axiomatizability
cites work: Q5650663
cites work: Theory of groups that act on trees
cites work: Implicational Classes of Pseudocomplemented Distributive Lattices
cites work: Q5639727
cites work: Q3901570
cites work: Q5509710
cites work: The Structure of Pseudocomplemented Distributive Lattices. I: Subdirect Decomposition
cites work: Equational Classes of Distributive Pseudo-Complemented Lattices
cites work: Representation of Distributive Lattices by means of ordered Stone Spaces
cites work: Q4168649
description: scientific article; zbMATH DE number 4097444