Subdirectly irreducible sectionally pseudocomplemented semilattices

被引：2
|
作者：
Halas, R. [1 ]
Kuehr, J. [1 ]
机构：
[1] Palacky Univ, Fac Sci, Dept Algebra & Geometry, CR-77900 Olomouc, Czech Republic
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 02期
关键词：
sectionally pseudocomplemented semilattice; weakly standard element;
D O I：
10.1007/s10587-007-0109-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sectionally pseudocomplemented semilattices are an extension of relatively pseudocomplemented semilattices-they are meet-semilattices with a greatest element such that every section, i.e., every principal filter, is a pseudocomplemented semilattice. In the paper, we give a simple equational characterization of sectionally pseudocomplemented semilattices and then investigate mainly their congruence kernels which leads to a characterization of subdirectly irreducible sectionally pseudocomplemented semilattices.
引用
收藏
页码：725 / 735
页数：11
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