Intersection of noncharacterizable varieties of lattices
type: Item
instance of: scholarly article
title: Intersection of noncharacterizable varieties of lattices
zbMATH Open document ID: 0733.06002
DOI: 10.1007/BF01979937
author: Zh. A. Omarov
published in: Algebra and Logic
publication date: 1990-01-01T00:00:00Z
review text: A variety V is said to be characterizable by a set M of finite lattices, and the lattices themselves prohibited for V (for the sake of brevity, such varieties will be called simply characterizable), if V coincides with the class of all lattices in which no lattice from M can be embedded. The author [Algebra Logika 27, No.3, 305-315 (1988; Zbl 0666.06004)] has constructed examples of noncharacterizable varieties of lattices. In connection with this, D. M. Smirnov has posed the question of the existence of noncharacterizable varieties, whose intersection is characterizable. In this paper we answer this question affirmatively.
Mathematics Subject Classification ID: 06B20
zbMATH DE Number: 4212116
zbMATH Keywords: characterizable varieties
zbMATH Keywords: noncharacterizable varieties of lattices
MaRDI profile type: Publication
cites work: Q3818364
cites work: On the importance of the relation \([(A,B),(A,C)]=(A,[(B,C),(C,A),(A,B)])\) between three elements of a structure
cites work: Q5682017
cites work: Algebras Whose Congruence Lattices are Distributive.
description: scientific article; zbMATH DE number 4212116