|Table of Contents|

Congruences on Continuous Lattices(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年04期
Page:
21-23
Research Field:
数学
Publishing date:

Info

Title:
Congruences on Continuous Lattices
Author(s):
Shi Xiaoping; He Wei
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210097,China
Keywords:
congruence;  continuous lattice;  hom om orphism theo rem
PACS:
O153.1
DOI:
-
Abstract:
Cong ruences a re im po rtant to study quotien ts o f lattices. In th is paper, a charac terization of congruences on continuous lattices is g iven. H om om orph ism theorem s o f continuous lattices a re a lso discussed.

References:

[ 1]  G ierz G, H o fm ann K H, Ke ime lK, et a.l A Com pend ium of Continuous Lattices[M ]. B erlin-H e idelbe rg-New York: Springer,1980.
[ 2]  H o fm ann K H, M isloveM V. The la ttice o f kerne l ope rato rs and topolog ica l a lg ebra[ J]. M ath Z, 1977, 154( 2) : 175-188.
[ 3] Dow ke r C H, Papert D. Quotien t fram es and subspaces[ J]. Proc LondonM ath Soc, 1966, 16( 1): 275-296.
[ 4]  Ba lber R, Dw inge r P. D istr ibutive Lattices[M ]. M issour:i M issour iUn iv Press, 1974.
[ 5]  W e iH, M aokang L. Lattices of quor ients o f comp le tely d istributiVe la ttices[ J]. A lgebra Univers, 2005, 54( 1) : 121-127.
[ 6]  W X ijuan, H W e .i A no t on lattices o f quotients of comp lete Boolean a lg ebra[ J]. JM ath, 2009, 29( 2): 133-138.

Memo

Memo:
-
Last Update: 2013-04-23