| Title:
|
Modularity and distributivity of tolerance lattices of commutative inverse semigroups (English) |
| Author:
|
Pondělíček, Bedřich |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
146-157 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
08B10 |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 0581.20058 |
| idMR:
|
MR779342 |
| DOI:
|
10.21136/CMJ.1985.102003 |
| . |
| Date available:
|
2008-06-09T15:04:00Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102003 |
| . |
| Reference:
|
[1] Chajda I.: Lattices of compatible relations.Arch. Math. (Brno) 13 (1977), 89-96. Zbl 0372.08002, MR 0463081 |
| Reference:
|
[2] Chajda I., Zelinka В.: Lattices of tolerances.Čas. pěst. mat. 102 (1911), 10-24.� � � � � �' MR 0450152 |
| Reference:
|
[3] Pondělíček В.: Atomicity of tolerance lattices of commutative semigroups.Czech. Math. J. 33 (108) (1983), 485-498. MR 0718931 |
| Reference:
|
[4] Clifford A. H., Preston G. В.: The algebraic theory of semigroups.Amer. Math. Soc., Providence, R. I. Vol I(1961); Vol. II (1967). Zbl 0111.03403 |
| Reference:
|
[5] Zelinka В.: Tolerance in algebraic structures II.Czech. Math. J. 25 (100) (1975), 175-178. Zbl 0316.08001, MR 0457323 |
| Reference:
|
[6] Ore O.: Structure and group theory II.Duke Math. J. 4 (1938), 247-269. MR 1546048, 10.1215/S0012-7094-38-00419-3 |
| Reference:
|
[7] Nieminen J.: Tolerance relations on join-semilattices.Glasnik Mat. (Zagreb), 12 (1977), 243-246. Zbl 0376.06011, MR 0551488 |
| Reference:
|
[8] Dean R. A., Oehmke R. H.: Idempotent semigroups with distributive right congruence lattice.Pacific J. Math. 14 (1964), 1187-1209. MR 0172939, 10.2140/pjm.1964.14.1187 |
| Reference:
|
[9] Papert D.: Congruence relations in semilattices.J. London Math. Soc. 39 (1964), 723 - 729. MR 0166123, 10.1112/jlms/s1-39.1.723 |
| Reference:
|
[10] Mitsch H.: Semigroups and their lattice of congruences.Semigroup Forum 26 (1983), 1 - 63. Zbl 0513.20047, MR 0685115, 10.1007/BF02572819 |
| . |
