A groupoid characterization of Boolean algebras
Discussiones Mathematicae - General Algebra and Applications (2004)
- Volume: 24, Issue: 2, page 177-184
- ISSN: 1509-9415
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Abstract
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topIvan Chajda. "A groupoid characterization of Boolean algebras." Discussiones Mathematicae - General Algebra and Applications 24.2 (2004): 177-184. <http://eudml.org/doc/287628>.
@article{IvanChajda2004,
abstract = {We present a groupoid which can be converted into a Boolean algebra with respect to term operations. Also conversely, every Boolean algebra can be reached in this way.},
author = {Ivan Chajda},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {groupoid; Boolean algebra; semi-bolean algebra; involution; dualautomorphism (or antiautomorphism); Boolean algebras; groupoids; involutions; identities; term operations},
language = {eng},
number = {2},
pages = {177-184},
title = {A groupoid characterization of Boolean algebras},
url = {http://eudml.org/doc/287628},
volume = {24},
year = {2004},
}
TY - JOUR
AU - Ivan Chajda
TI - A groupoid characterization of Boolean algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2004
VL - 24
IS - 2
SP - 177
EP - 184
AB - We present a groupoid which can be converted into a Boolean algebra with respect to term operations. Also conversely, every Boolean algebra can be reached in this way.
LA - eng
KW - groupoid; Boolean algebra; semi-bolean algebra; involution; dualautomorphism (or antiautomorphism); Boolean algebras; groupoids; involutions; identities; term operations
UR - http://eudml.org/doc/287628
ER -
References
top- [1] J.C. Abbott, Semi-boolean algebra, Mat. Vestnik 4 (1967), 177-198. Zbl0153.02704
- [2] G. Birkhoff, Lattice Theory, third edition, Publ. Amer. Math. Soc., Providence, RI, 1967.
- [3] J. Dudek, Polynomials in idempotent commutative groupoids, Dissert. Math. 286 (1989), 1-59. Zbl0687.08003
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