| Title:
|
Multiple left distributive systems (English) |
| Author:
|
Dehornoy, Patrick |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
615-625 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe the free objects in the variety of algebras involving several mutually distributive binary operations. Also, we show how an associative operation can be constructed on such systems in good cases, thus obtaining a two way correspondence between LD-monoids (sets with a left self-distributive and a compatible associative operation) and multi-LD-systems (sets with a family of mutually distributive operations). (English) |
| Keyword:
|
binary system |
| Keyword:
|
self-distributivity |
| MSC:
|
08A02 |
| MSC:
|
08B20 |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 0943.20070 |
| idMR:
|
MR1601664 |
| . |
| Date available:
|
2009-01-08T18:36:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118960 |
| . |
| 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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| . |
