| Title:
|
Tolerances and congruences on lattices (English) |
| Author:
|
Janowitz, Melvin F. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
108-115 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06B10 |
| MSC:
|
06C15 |
| MSC:
|
92A27 |
| idZBL:
|
Zbl 0598.06004 |
| idMR:
|
MR822874 |
| DOI:
|
10.21136/CMJ.1986.102071 |
| . |
| Date available:
|
2008-06-09T15:09:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102071 |
| . |
| Reference:
|
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| Reference:
|
[2] M. A. Arbib: Tolerance automata.Kybernetika, 3 (1967), 223 - 233. Zbl 0153.01201, MR 0223185 |
| Reference:
|
[3] H. J. Bandelt: Tolerance relations on lattices.Bull. Austral. Math. Soc. 23 (1981), 367-381. Zbl 0449.06005, MR 0625179, 10.1017/S0004972700007255 |
| Reference:
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[4] T. S. Blyth, M. F. Janowitz: Residuation Theory.Pergamon Press, 1972. Zbl 0301.06001, MR 0396359 |
| Reference:
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[5] L. Chajda: A characterization of distributive lattices by tolerance lattices.Arch. Math. Brno 15 (1979), 203-204. Zbl 0439.06008, MR 0563147 |
| Reference:
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[6] L. Chajda, B. Zelinka: Lattices of tolerances.Čas. pěst. Math. 102 (1977), 10-24. Zbl 0354.08011, MR 0450152 |
| Reference:
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[7] L. Chajda, B. Zelinka: Tolerance relation on lattices.Čas. pěst. mat. 99 (1974), 394- 399. Zbl 0297.06001, MR 0360380 |
| Reference:
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[8] L. Chajda, B. Zelinka: Minimal compatible tolerances on lattices.Czech. Math. J. 27 (1977), 452-459. Zbl 0379.06002, MR 0457300 |
| Reference:
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[9] L. Chajda, B. Zelinka: Complemented tolerances on lattices.Čas. pěst. mat. 109 (1984), 54-59. Zbl 0536.06007, MR 0741208 |
| Reference:
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[10] G. Czédli: Factor lattices by tolerances.Acta Sci. Math. (Szeged), 44 (1982), 35-42. MR 0660510 |
| Reference:
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[11] R. P. Dilworth: The structure of relatively complemented lattices.Annals of Math. 51 (1950), 348-359. Zbl 0036.01802, MR 0033795, 10.2307/1969328 |
| Reference:
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[12] G. Grätzer, E. T. Schmidt: Ideals and congruence relations.Acta Math. Acad. Sci. Hung. 9 (1958), 137-175. MR 0100560, 10.1007/BF02023870 |
| Reference:
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[13] G. Grätzer, E. T. Schmidt: Standard ideals in lattices.Acta Math. Acad. Sci. Hung. 12 (1961), 17-86. MR 0133265, 10.1007/BF02066675 |
| Reference:
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[14] M. F. Janowitz: A characterization of standard ideals.Acta Math. Acad. Sci. Hung. 16 (1965), 289-301. MR 0186589, 10.1007/BF01904837 |
| Reference:
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[15] M. F. Janowitz: On a paper by Iqbalunnisa.Fund. Math. 78 (1973), 177-182. Zbl 0327.06004, MR 0318020, 10.4064/fm-78-2-177-182 |
| Reference:
|
[16] M. F. Janowitz: Complemented congruences on complemented lattices.Pacific J. Math. 73 (1977), 87-90. Zbl 0371.06005, MR 0463059, 10.2140/pjm.1977.73.87 |
| Reference:
|
[17] M. F. Janowitz: Note on the center of a lattice.Math. Slovaca 28 (1978), 235-242. Zbl 0435.06013, MR 0534989 |
| Reference:
|
[18] С. S. Johnson, Jr.: On certain poset and semilattice homomorphisms.Pacific J. Math. 39 (1971), 703-715. Zbl 0228.20049, MR 0304245, 10.2140/pjm.1971.39.703 |
| Reference:
|
[19] O. Ore: Theory of equivalence relations.Duke Math. J., 9 (1942), 573 - 627. Zbl 0060.06201, MR 0007388, 10.1215/S0012-7094-42-00942-6 |
| Reference:
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[20] B. J. Thome: $A-P$ congruences on Baer semigroups.Pacific J. Math. 28 (1969), 681 - 698. MR 0241560, 10.2140/pjm.1969.28.681 |
| Reference:
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[21] R. Wille: Complete tolerance relations of concept lattices.Preprint No. 794, Tech. Hochschule, Darmstadt, 1983, 23 pp. MR 0815146 |
| Reference:
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[22] E. С. Zeeman: The topology of the brain and visual perception, in "The topology of 3-manifolds".ed. M. K. Fort, Prentice-Hall, 240-256. MR 0140374 |
| Reference:
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[23] B. Zelinka: Tolerance in algebraic structures.Czech. Math. J. 20 (1970), 240-256. Zbl 0197.01002, MR 0260653 |
| . |
