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

[1] ON CONGRUENCE LATTICES OF SOME P-ALGEBRAS AND DOUBLE P-ALGEBRAS
BEAZER, R
[J]. ALGEBRA UNIVERSALIS, 1981, 13 (03) : 379 - 388
[2] CONGRUENCE LATTICES OF FINITE P-ALGEBRAS
KATRINAK, T
[J]. ALGEBRA UNIVERSALIS, 1994, 31 (04) : 475 - 491
[3] DOUBLE P-ALGEBRAS WITH STONE CONGRUENCE LATTICES
ADAMS, ME
BEAZER, R
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1991, 41 (03) : 395 - 404
[4] CHARACTERIZATION OF CONGRUENCE LATTICES OF PRINCIPAL p-ALGEBRAS
Badawy, Abd El-Mohsen
[J]. MATHEMATICA SLOVACA, 2017, 67 (03) : 803 - 810
[5] CONGRUENCE PAIRS OF PRINCIPAL p-ALGEBRAS
Badawy, Abd El-Mohsen
Shum, Kar Ping
[J]. MATHEMATICA SLOVACA, 2017, 67 (01) : 263 - 270
[6] CONGRUENCE PROPERTIES OF DISTRIBUTIVE DOUBLE P-ALGEBRAS
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BEAZER, R
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1991, 41 (02) : 216 - 231
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[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1996, 39 : 71 - 80
[8] CONGRUENCE PERMUTABLE EXTENSIONS OF DISTRIBUTIVE DOUBLE P-ALGEBRAS
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SICHLER, J
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1993, 36 : 165 - 168
[9] PRINCIPAL CONGRUENCES OF P-ALGEBRAS AND DOUBLE P-ALGEBRAS
HECHT, T
KATRINAK, T
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 58 (JUL) : 25 - 31
[10] P-ALGEBRAS
WILLOUGHBY, RA
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (01) : 56 - 56

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