| Title:
|
Boolean differential operators (English) |
| Author:
|
Catumba, Jorge |
| Author:
|
Díaz, Rafael |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
141-158 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider four combinatorial interpretations for the algebra of Boolean differential operators and construct, for each interpretation, a matrix representation for the algebra of Boolean differential operators. (English) |
| Keyword:
|
Boolean algebras |
| Keyword:
|
differential operators |
| Keyword:
|
directed graphs |
| MSC:
|
03G05 |
| MSC:
|
05C76 |
| MSC:
|
05E15 |
| MSC:
|
06E25 |
| idZBL:
|
Zbl 06391533 |
| idMR:
|
MR3193921 |
| . |
| Date available:
|
2014-06-07T15:30:22Z |
| Last updated:
|
2016-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143797 |
| . |
| Reference:
|
[1] Brown F.: Boolean Reasoning.Dover Publications, Mineola, 2003. Zbl 1029.03001, MR 1979080 |
| Reference:
|
[2] Díaz R.: Quantum Boolean algebras.preprint, http://arxiv.org/abs/1011.5215. |
| Reference:
|
[3] Reed I.: A class of multiple error-correcting codes and decoding scheme.IRE Trans. on Information Theory 4 (1954), 38–49. MR 0089789, 10.1109/TIT.1954.1057465 |
| Reference:
|
[4] Rota G.-C.: Gian-Carlo Rota on Combinatorics.J. Kung (Ed.), Birkhäuser, Boston and Basel, 1995. Zbl 0841.01031, MR 1392961 |
| . |
