Nearlattices

被引：32

作者：

Chajda, I. ^{[1
]}

Kolarik, M. ^{[1
]}

机构：

[1] Palacky Univ, Dept Algebra & Geometry, Olomouc 77900, Czech Republic

来源：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 21期

关键词：

nearlattice; semilattice; distributive lattice; congruence distributive variety; section pseudocomplementation;

D O I：

10.1016/j.disc.2007.09.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By a nearlattice is meant a join-semilattice where every principal filter is a lattice with respect to the induced order. Alternatively, a nearlattice can be described as an algebra with one tertiary operation satisfying eight simple identities. Hence, the class of nearlattices is a variety. We characterize nearlattices every sublattice of which is distributive. Then we introduce the so-called section pseudocomplementation on nearlattices which can also be characterized by identities. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：4906 / 4913

页数：8

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