| Title:
|
Units in quasigroups with classical Bol--Moufang type identities (English) |
| Author:
|
Didurik, Natalia |
| Author:
|
Shcherbacov, Victor |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
427-435 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We proceed with Kunen's research about existence of units (left, right, two-sided) in quasigroups with classical Bol--Moufang type identities, listed in paper Extra loops II, by F. Fenyves (1969). We consider those Bol--Moufang identities where it has not been decided yet whether a quasigroup fulfilling this identity has to possess a left or right identity. We also provide a table of all Moufang--Bol identities, indicating at each whether it describes the variety of groups, and whether it forces out the left unit or the right unit. (English) |
| Keyword:
|
quasigroup |
| Keyword:
|
Bol--Moufang type identity |
| Keyword:
|
right unit |
| Keyword:
|
left unit |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 07332720 |
| idMR:
|
MR4230951 |
| DOI:
|
10.14712/1213-7243.2020.039 |
| . |
| Date available:
|
2021-02-25T12:32:39Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148656 |
| . |
| Reference:
|
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