Boolean differential operators
Commentationes Mathematicae Universitatis Carolinae (2014)
- Volume: 55, Issue: 2, page 141-158
- ISSN: 0010-2628
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Abstract
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topCatumba, Jorge, and Díaz, Rafael. "Boolean differential operators." Commentationes Mathematicae Universitatis Carolinae 55.2 (2014): 141-158. <http://eudml.org/doc/261853>.
@article{Catumba2014,
abstract = {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.},
author = {Catumba, Jorge, Díaz, Rafael},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Boolean algebras; differential operators; directed graphs; Boolean algebra; differential operator; directed graph},
language = {eng},
number = {2},
pages = {141-158},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Boolean differential operators},
url = {http://eudml.org/doc/261853},
volume = {55},
year = {2014},
}
TY - JOUR
AU - Catumba, Jorge
AU - Díaz, Rafael
TI - Boolean differential operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2014
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 2
SP - 141
EP - 158
AB - 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.
LA - eng
KW - Boolean algebras; differential operators; directed graphs; Boolean algebra; differential operator; directed graph
UR - http://eudml.org/doc/261853
ER -
References
top- Brown F., Boolean Reasoning, Dover Publications, Mineola, 2003. Zbl1029.03001MR1979080
- Díaz R., Quantum Boolean algebras, preprint, http://arxiv.org/abs/1011.5215.
- Reed I., 10.1109/TIT.1954.1057465, IRE Trans. on Information Theory 4 (1954), 38–49. MR0089789DOI10.1109/TIT.1954.1057465
- Rota G.-C., Gian-Carlo Rota on Combinatorics, J. Kung (Ed.), Birkhäuser, Boston and Basel, 1995. Zbl0841.01031MR1392961
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