| Title:
|
Distributivity of lattices of binary relations (English) |
| Author:
|
Chajda, I. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
449-452 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a formal scheme which whenever satisfied by relations of a given relational lattice $L$ containing only reflexive and transitive relations ensures distributivity of $L$. (English) |
| Keyword:
|
binary relation |
| Keyword:
|
relational lattice |
| Keyword:
|
distributivity |
| MSC:
|
08A02 |
| MSC:
|
08B10 |
| idZBL:
|
Zbl 1004.08001 |
| idMR:
|
MR1931328 |
| DOI:
|
10.21136/MB.2002.134068 |
| . |
| Date available:
|
2009-09-24T22:03:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134068 |
| . |
| Reference:
|
[1] Chajda I.: Distributivity and modularity of tolerance relations.Algebra Universalis 12 (1981), 247–255. MR 0608668, 10.1007/BF02483883 |
| Reference:
|
[2] Chajda I.: A note on the triangular scheme.East-West J. Math. 3 (2001), 79–80. Zbl 1007.08002, MR 1866645 |
| Reference:
|
[3] Jónsson B.: Algebras whose congruence lattices are distributive.Math. Scand. 21 (1967), 110–121. MR 0237402, 10.7146/math.scand.a-10850 |
| Reference:
|
[4] Gumm H.-P.: Geometrical methods in congruence modular algebras.Memoirs of the Amer. Math. Soc. 286 (1983). Zbl 0547.08006, MR 0714648 |
| . |
