Title:
|
Lattices of tolerances (English) |
Author:
|
Chajda, Ivan |
Author:
|
Zelinka, Bohdan |
Language:
|
English |
Journal:
|
Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
102 |
Issue:
|
1 |
Year:
|
1977 |
Pages:
|
10-24 |
. |
Category:
|
math |
. |
MSC:
|
08Axx |
idZBL:
|
Zbl 0354.08011 |
idMR:
|
MR0450152 |
DOI:
|
10.21136/CPM.1977.117941 |
. |
Date available:
|
2009-09-23T08:47:18Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117941 |
. |
Reference:
|
[1] G. Birkhoff: Lattice Theory.Amer. Math. Soc. New York 1940. Zbl 0063.00402, MR 0001959 |
Reference:
|
[2] G. Birkhoff: On the structure of abstract algebгas.Proc. Cambridge Phil. Soc. 31 (19З5), 4ЗЗ-454. |
Reference:
|
[З] G. Birkhoff, J. Frink: Representation of lattices by sets.Trans. Amer. Math. Soc. 64 (1948), 299-Зlб. MR 0027263 |
Reference:
|
[4] N. Funayama, T. Nakayama: On the distributivity of a lattice of lattice-congruences.Proc. Imp. Acad. Tokyo 18 (1942), 553-554. Zbl 0063.01483, MR 0014065 |
Reference:
|
[5] G. Grätzer: Universal Algebra.Van Nostrand Co., London 1968. MR 0248066 |
Reference:
|
[6] G. Grätzer: Lattice Theory First Concepts and Distributive Lattices.Freeman and Co., San Francisco 1971. MR 0321817 |
Reference:
|
[7] I. Chajda B. Zelinka: Tolerance relations on lattices.Čas. pěstov. mat. 99 (1974), 394-399. MR 0360380 |
Reference:
|
[8] I. Chajda B. Zelinka: Compatible relations on algebras.Čas. pěstov. mat. 100 (1975), 355-360. MR 0389710 |
Reference:
|
[9] I. Chajda B. Zelinka: Weakly associative lattices and tolerance relations.Czech. Math. Ј. 26 (1976), 259-269. MR 0401558 |
Reference:
|
[10] I. Chajda J. Niederle, B. Zelinka: On existence conditions for compatible toleгances.Czech. Math. Ј. 26 (1976), 304-311. MR 0401561 |
Reference:
|
[11] G. Szász: Intгoduction to Lattice Theory.Akadémiai Kiadó Budapest 1963. |
Reference:
|
[12] E. C. Zeeman: The topology of the brain and visual perception.In: The Topology of 3-Manifolds, ed. by M. K. Foгt, pp. 240-256. MR 0140374 |
Reference:
|
[13] B. Zelinka: Tolerance graphs.Comment. Math. Univ. Carol. 9 (1968), 121-131. Zbl 0155.51206, MR 0232698 |
Reference:
|
[14] B. Zelinka: Toleгance in algebraic structures.Czech. Math. Ј. 20 (1970), 179-183. MR 0260653 |
Reference:
|
[15] B. Zelinka: Tolerance in algebraic structures II.Czech. Math. Ј. 25 (1975), 175-178. Zbl 0316.08001, MR 0457323 |
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