| Title:
|
Derivations and Translations on Trellises (English) |
| Author:
|
Rai, Shashirekha B. |
| Author:
|
Parameshwara Bhatta, S. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
129-136 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
G. Szász, J. Szendrei, K. Iseki and J. Nieminen have made an extensive study of derivations and translations on lattices. In this paper, the concepts of meet-translations and derivations have been studied in trellises (also called weakly associative lattices or WA-lattices) and several results in lattices are extended to trellises. The main theorem of this paper, namely, that every derivatrion of a trellis is a meet-translation, is proved without using associativity and it generalizes a well-known result of G. Szász. (English) |
| Keyword:
|
Psoset |
| Keyword:
|
trellis |
| Keyword:
|
ideal |
| Keyword:
|
meet-translation |
| Keyword:
|
derivation |
| MSC:
|
06B05 |
| idZBL:
|
Zbl 1350.06004 |
| idMR:
|
MR3468606 |
| . |
| Date available:
|
2015-09-01T09:05:55Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144373 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[5] Nieminen, J.: Derivations and translations on lattices. Acta Sci. Math. 38 (1976), 359–363. Zbl 0344.06004, MR 0429687 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
