| Title:
|
Projection representable relations on Menger $(2,n)$-semigroups (English) |
| Author:
|
Dudek, Wiesław A. |
| Author:
|
Trokhimenko, Valentin S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
1015-1037 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial $n$-place functions are presented. Representations of Menger $(2,n)$-semigroups by partial $n$-place functions closed with respect to these relations are investigated. (English) |
| Keyword:
|
$n$-place function |
| Keyword:
|
algebra of functions |
| Keyword:
|
Menger algebra |
| Keyword:
|
$(2,n)$-semigroup |
| MSC:
|
08A55 |
| MSC:
|
08A62 |
| MSC:
|
08N05 |
| MSC:
|
20N15 |
| idZBL:
|
Zbl 1165.20324 |
| idMR:
|
MR2471162 |
| . |
| Date available:
|
2010-07-21T08:08:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140436 |
| . |
| Reference:
|
[1] Dudek, W. A., Trokhimenko, V. S.: Functional Menger ${\cal P}$-algebras.Commun. Algebra 30 (2002), 5921-5931. Zbl 1018.20057, MR 1941932, 10.1081/AGB-120016022 |
| Reference:
|
[2] Dudek, W. A., Trokhimenko, V. S.: Representations of Menger $(2,n)$-semigroups by multiplace functions.Commun. Algebra 34 (2006), 259-274. Zbl 1092.20051, MR 2194765, 10.1080/00927870500346255 |
| Reference:
|
[3] Dudek, W. A., Trokhimenko, V. S.: Menger algebras of multiplace functions.Russian Centrul Ed. USM. Khishinev, 2006, ISBN 978-9975-70-621-6. Zbl 1115.08001, MR 2292134 |
| Reference:
|
[4] Mann, H. B.: On orthogonal Latin squares.Bull. Amer. Math. Soc. 50 (1944), 249-257. Zbl 0060.32307, MR 0010401, 10.1090/S0002-9904-1944-08127-5 |
| Reference:
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[5] Novák, V., Novotný, M.: Transitive ternary relations and quasiorderings.Arch. Math. (Brno) 1/2 (1989), 5-12. MR 1189193 |
| Reference:
|
[6] Riguet, J.: Relations binaires, fermetures, correspondances de Galois.Bull. Soc. Math. France 76 (1948), 114-155. Zbl 0033.00603, MR 0028814, 10.24033/bsmf.1401 |
| Reference:
|
[7] Schein, B. M.: A relation of co-definability on semigroups of functions.Russian Ordered sets and lattices 1 (1971), 86-89 (Izdat. Saratov. Gos. Univ.). MR 0379727 |
| Reference:
|
[8] Schein, B. M.: Projection partitions of function semigroups.Math. Rep. Acad. Sci., R. Soc. Canada 1 (1979), 67-70. Zbl 0404.20058, MR 0519525 |
| Reference:
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[9] Schein, B. M.: Lectures on semigroups of transformations.Amer. Math. Soc. Translat. 113 (1979), 123-181. Zbl 0404.20057, 10.1090/trans2/113/06 |
| Reference:
|
[10] Schein, B. M., Trohimenko, V. S.: Algebras of multiplace functions.Semigroup Forum 17 (1979), 1-64. Zbl 0397.08001, MR 0521147, 10.1007/BF02194309 |
| Reference:
|
[11] Sokhatskij, F. N.: An abstract characterization of $(2,n)$-semigroups of $n$-ary operations.Russian Mat. Issled. 65 (1982), 132-139. MR 0669748 |
| Reference:
|
[12] Trokhimenko, V. S.: Ordered algebras of multiplace functions.Russian Izv. Vyssh. Uchebn. Zaved. Matematika 1 (1971), 90-98. MR 0285461 |
| Reference:
|
[13] Trokhimenko, V. S.: Abstract characterizations of some algebras of multiplace functions.Russian Izv. Yyssh. Uchebn. Zaved. Matematika 4 (1971), 87-95. Zbl 0221.08002 |
| Reference:
|
[14] Trokhimenko, V. S.: Characterization of the co-definability relation on ordered algebras of multiplace functions.Russian Izv. Vyssh. Uchebn. Zaved. Matematika 9 (1977), 80-88. |
| Reference:
|
[15] Trokhimenko, V. S.: Stationary subsets and stabilizers of restrictive Menger P-algebras of multiplace functions.Algebra Universalis 44 (2000), 129-142. Zbl 1014.08004, MR 1803079, 10.1007/s000120050175 |
| Reference:
|
[16] Yakubov, T.: On $(2,n)$-semigroups of $n$-ary operations.Russian Bull. Akad. Ştiinţa SSR Moldov. 1 (1974), 29-46. |
| . |
