| Title:
|
Convex isomorphisms of directed multilattices (English) |
| Author:
|
Jakubík, Ján |
| Author:
|
Csontóová, Mária |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
359-378 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
By applying the solution of the internal direct product decomposition we investigate the relations between convex isomorphisms and direct product decompositions of directed multilattices. (English) |
| Keyword:
|
direct product decomposition |
| Keyword:
|
convex isomorphisms |
| Keyword:
|
directed multilattices |
| Keyword:
|
directly indecomposable lattices |
| Keyword:
|
internal direct product decomposition |
| Keyword:
|
directed set |
| Keyword:
|
multilattice |
| MSC:
|
06A06 |
| MSC:
|
06A99 |
| MSC:
|
06B99 |
| idZBL:
|
Zbl 0802.06008 |
| idMR:
|
MR1251882 |
| DOI:
|
10.21136/MB.1993.126157 |
| . |
| Date available:
|
2009-09-24T21:01:21Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126157 |
| . |
| Reference:
|
[1] M. Benado: Sur la théorie de la divisibilité.Acad. R. P. Romine, Bul. Sti. Sect. Mat. Fiz. 6 (1954), 263-270. Zbl 0057.25301, MR 0067089 |
| Reference:
|
[2] C. C. Chen M. K. Koh: On the lattice of convex sublattices of a finite lattice.Nanta Math. 5 (1972), 93-95. MR 0351934 |
| Reference:
|
[3] J. Hashimoto: On direct product decompositions of partially ordered sets.Annals of Math. 54 (1951), 315-318. MR 0043067, 10.2307/1969532 |
| Reference:
|
[4] J. Jakubík M. Kolibiar: On some properties of pairs of lattices.Czechoslov. Math. J. 4 (1954), 1-27. (In Russian.) MR 0065529 |
| Reference:
|
[5] M. Kolibiar: Intervals, convex sublattices and subdirect representations of lattices.Universal algebra and applications, Banach Center Publications, Vol. 9, Warszawa, 1980, pp. 335-339. MR 0738826, 10.4064/-9-1-335-339 |
| Reference:
|
[6] M. Kolibiar J. Lihová: Convex automorphisms of a lattice.Math. Slovaca, to appear. MR 1248975 |
| Reference:
|
[7] A. G. Kurosh: Group Theory.Third edition, Moskva, 1967. (In Russian.) Zbl 0189.30801 |
| Reference:
|
[8] V. I. Marmazeev: The lattice of convex sublattices of a lattice.Ordered sets and lattices No. 9, Saratov. Gos. Univ., Saratov, 1986, pp. 50-58. (In Russian.) Zbl 0711.06005, MR 0957970 |
| Reference:
|
[9] V. I. Marmazeev: A group of automorphisms of the lattice of convex sublattices of a lattice.Vestsi Akad. Navuk BSSR, Ser. fiz. mat. navuk (1988), no. 6, 110-112. (In Russian, English summary.) MR 0984119 |
| . |
