PRINCIPAL CONGRUENCES OF DOUBLE DEMI-P-LATTICES

被引：15

作者：

SANKAPPANAVAR, HP ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT PURE MATH,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

ALGEBRA UNIVERSALIS | 1990年 / 27卷 / 02期

关键词：

D O I：

10.1007/BF01182457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A formula is given to express a principal congruence on a double demi-p-lattice as a join of countably many principal lattice congruences. It is then applied to show that the variety of double demi-p-lattices has the congruence extension property. As special cases one obtains some known results for distributive double p-lattices due to T. Hecht and T. Katriňák. © 1990 Birkhäuser Verlag.

引用

页码：248 / 253

页数：6

共 50 条

[41] Congruences of finite semidistributive lattices
Nation, J. B.
CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (03): : 443 - 473
[42] PERMUTABILITY OF SEMILATTICE CONGRUENCES ON LATTICES
FUJIWARA, T
CANADIAN JOURNAL OF MATHEMATICS, 1967, 19 (02): : 370 - &
[43] The fracture toughness of demi-regular lattices
Omidi, Milad
St-Pierre, Luc
SCRIPTA MATERIALIA, 2023, 237
[44] Extensions and Congruences of Partial Lattices
Chajda, Ivan
Laenger, Helmut
MATHEMATICA SLOVACA, 2023, 73 (02) : 289 - 304
[45] Congruences of Clone Lattices, II
Andrei A. Krokhin
Order, 2001, 18 : 151 - 159
[46] Lattices with many congruences are planar
Czedli, Gabor
ALGEBRA UNIVERSALIS, 2019, 80 (01)
[47] Orthomodular lattices and permutable congruences
Kelly, D
Padmanabhan, R
ALGEBRA UNIVERSALIS, 2005, 53 (2-3) : 227 - 228
[48] Lattices with many congruences are planar
Gábor Czédli
Algebra universalis, 2019, 80
[49] LATTICES OF PROCESSES IN GRAPHS AND CONGRUENCES ON IDEALS IN DISTRIBUTIVE LATTICES
SHAKHBAZYAN, KV
LEBEDINSKAYA, NB
TUSHKINA, TA
CYBERNETICS AND SYSTEMS ANALYSIS, 1992, 28 (01) : 140 - 143
[50] Congruence lattices of lattices with m-permutable congruences
Ploscica, Miroslav
ACTA SCIENTIARUM MATHEMATICARUM, 2008, 74 (1-2): : 23 - 36

← 1 2 3 4 5 →