| Title:
|
On algebras of generalized Latin squares (English) |
| Author:
|
Katrnoška, František |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
91-103 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main result of this paper is the introduction of a notion of a generalized $R$-Latin square, which includes as a special case the standard Latin square, as well as the magic square, and also the double stochastic matrix. Further, the algebra of all generalized Latin squares over a commutative ring with identity is investigated. Moreover, some remarkable examples are added. (English) |
| Keyword:
|
ring with identity |
| Keyword:
|
homomorphism |
| Keyword:
|
one-sided ideal |
| Keyword:
|
two-sided ideal |
| Keyword:
|
module |
| Keyword:
|
bimodule |
| MSC:
|
05B15 |
| MSC:
|
16S99 |
| idZBL:
|
Zbl 1224.05066 |
| idMR:
|
MR2807712 |
| DOI:
|
10.21136/MB.2011.141453 |
| . |
| Date available:
|
2011-03-31T11:30:39Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141453 |
| . |
| Reference:
|
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| . |
