CONGRUENCE LATTICES OF P-ALGEBRAS

被引：4

作者：

GRATZER, G

SCHMIDT, ET

机构：

[1] UNIV MANITOBA,DEPT MATH,WINNIPEG,MB R3T 2N2,CANADA

[2] TECH UNIV BUDAPEST,FAC TRANSPORT ENGN,DEPT MATH,H-1111 BUDAPEST,HUNGARY

来源：

ALGEBRA UNIVERSALIS | 1995年 / 33卷 / 04期

关键词：

D O I：

10.1007/BF01225470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

T. Kartrinak proved the following theorem: Every finite distributive lattice is the congruence lattice of a finite p-algebra. We provide a short proof and a generalization, of this result.

引用

页码：470 / 477

页数：8

共 50 条

[31] REPRESENTATIONS OF LIE P-ALGEBRAS
SCHUE, J
LECTURE NOTES IN MATHEMATICS, 1982, 933 : 191 - 202
[32] On the symbol length of p-algebras
Florence, Mathieu
COMPOSITIO MATHEMATICA, 2013, 149 (08) : 1353 - 1363
[33] Moduli of Lie p-algebras
Bouillet, Alice
MANUSCRIPTA MATHEMATICA, 2024, 174 (1-2) : 381 - 427
[34] Free solvable P-algebras
Chakrabarti, S
COMMUNICATIONS IN ALGEBRA, 2001, 29 (08) : 3393 - 3418
[35] Decidable quasivarieties of p-algebras
Kowalski, Tomasz
Slomczynska, Katarzyna
MATHEMATICAL LOGIC QUARTERLY, 2025, 71 (01)
[36] Moduli of Lie p-algebras
Alice Bouillet
manuscripta mathematica, 2024, 174 : 381 - 427
[37] VARIETIES OF MODULAR P-ALGEBRAS
KATRINAK, T
COLLOQUIUM MATHEMATICUM, 1974, 29 (02) : 179 - 187
[38] Distributive congruence lattices of congruence-permutable algebras
Ruzicka, Pavel
Tuma, Jiri
Wehrung, Friedrich
JOURNAL OF ALGEBRA, 2007, 311 (01) : 96 - 116
[39] REGULAR DOUBLE p-ALGEBRAS
Adams, M. E.
Sankappanavar, Hanamantagouda P.
Vaz de Carvalho, Julia
MATHEMATICA SLOVACA, 2019, 69 (01) : 15 - 34
[40] REPRESENTATIONS OF SOLVABLE P-ALGEBRAS
SCHUE, J
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A93 - A93

← 1 2 3 4 5 →