Avoidable structures, I: Finite ordered sets, semilattices and lattices

被引：1

作者：

Dziobiak, Wieslaw ^{[1
]}

Jezek, Jaroslav ^{[2
]}

McKenzie, Ralph ^{[3
]}

机构：

[1] Univ Puerto Rico, Dept Math, Mayaguez, PR USA

[2] MFF UK, Prague 18600 8, Czech Republic

[3] Vanderbilt Univ, Dept Math, Nashville, TN USA

来源：

ALGEBRA UNIVERSALIS | 2009年 / 60卷 / 03期

关键词：

ordered set; semilattice; lattice; avoidable;

D O I：

10.1007/s00012-009-2097-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find all finite unavoidable ordered sets, finite unavoidable semilattices and finite unavoidable lattices.

引用

页码：247 / 258

页数：12

共 50 条

[1] Avoidable structures, I: Finite ordered sets, semilattices and lattices
Wieslaw Dziobiak
Jaroslav Ježek
Ralph McKenzie
Algebra universalis, 2009, 60 : 247 - 258
[2] Avoidable structures, II: Finite distributive lattices and nicely structured ordered sets
Wieslaw Dziobiak
Jaroslav Ježek
Ralph McKenzie
Algebra universalis, 2009, 60 : 259 - 291
[3] Avoidable structures, II: Finite distributive lattices and nicely structured ordered sets
Dziobiak, Wieslaw
Jezek, Jaroslav
McKenzie, Ralph
ALGEBRA UNIVERSALIS, 2009, 60 (03) : 259 - 291
[4] Rogers semilattices of finite partially ordered sets
Ershov Yu.L.
Algebra and Logic, 2006, 45 (1) : 26 - 48
[5] Solution sets of systems of equations over finite lattices and semilattices
Endre Tóth
Tamás Waldhauser
Algebra universalis, 2020, 81
[6] Solution sets of systems of equations over finite lattices and semilattices
Toth, Endre
Waldhauser, Tamas
ALGEBRA UNIVERSALIS, 2020, 81 (02)
[7] Necessary Isomorphism Conditions for Rogers Semilattices of Finite Partially Ordered Sets
Yu. L. Ershov
Algebra and Logic, 2003, 42 (4) : 232 - 236
[8] On centralizers of finite lattices and semilattices
Tóth, Endre
Waldhauser, Tamás
Journal of Multiple-Valued Logic and Soft Computing, 2021, 36 (04): : 405 - 436
[9] On Centralizers of Finite Lattices and Semilattices
Toth, Endre
Waldhauser, Tamas
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2021, 36 (4-5) : 405 - 436
[10] Maximal and Minimal Semilattices on Ordered Sets
Brett McElwee
Order, 2001, 18 : 137 - 149

← 1 2 3 4 5 →