About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Catumba, Jorge ; Díaz, Rafael
Boolean differential operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 2, pp. 141-158
MSC: 03G05, 05C76, 05E15, 06E25 | MR 3193921 | Zbl 06391533
Keywords:
Boolean algebras; differential operators; directed graphs
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.
References:
[1] Brown F.: Boolean Reasoning. Dover Publications, Mineola, 2003. MR 1979080 | Zbl 1029.03001
[2] Díaz R.: Quantum Boolean algebras. preprint, http://arxiv.org/abs/1011.5215
[3] Reed I.: A class of multiple error-correcting codes and decoding scheme. IRE Trans. on Information Theory 4 (1954), 38–49. DOI 10.1109/TIT.1954.1057465 | MR 0089789
[4] Rota G.-C.: Gian-Carlo Rota on Combinatorics. J. Kung (Ed.), Birkhäuser, Boston and Basel, 1995. MR 1392961 | Zbl 0841.01031
Partner of
EuDML logo