Multiple left distributive systems
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 4, page 615-625
- ISSN: 0010-2628
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topDehornoy, Patrick. "Multiple left distributive systems." Commentationes Mathematicae Universitatis Carolinae 38.4 (1997): 615-625. <http://eudml.org/doc/248060>.
@article{Dehornoy1997,
abstract = {We describe the free objects in the variety of algebras involving several mutually distributive binary operations. Also, we show how an associative operation can be constructed on such systems in good cases, thus obtaining a two way correspondence between LD-monoids (sets with a left self-distributive and a compatible associative operation) and multi-LD-systems (sets with a family of mutually distributive operations).},
author = {Dehornoy, Patrick},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {binary system; self-distributivity; binary systems; self-distributivity; free left distributive monoids; varieties of algebras},
language = {eng},
number = {4},
pages = {615-625},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Multiple left distributive systems},
url = {http://eudml.org/doc/248060},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Dehornoy, Patrick
TI - Multiple left distributive systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 4
SP - 615
EP - 625
AB - We describe the free objects in the variety of algebras involving several mutually distributive binary operations. Also, we show how an associative operation can be constructed on such systems in good cases, thus obtaining a two way correspondence between LD-monoids (sets with a left self-distributive and a compatible associative operation) and multi-LD-systems (sets with a family of mutually distributive operations).
LA - eng
KW - binary system; self-distributivity; binary systems; self-distributivity; free left distributive monoids; varieties of algebras
UR - http://eudml.org/doc/248060
ER -
References
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