Varieties of idempotent slim groupoids
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 4, page 1289-1309
- ISSN: 0011-4642
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topJežek, Jaroslav. "Varieties of idempotent slim groupoids." Czechoslovak Mathematical Journal 57.4 (2007): 1289-1309. <http://eudml.org/doc/31193>.
@article{Ježek2007,
abstract = {Idempotent slim groupoids are groupoids satisfying $xxx̄$ and $x(yz)x̄z$. We prove that the variety of idempotent slim groupoids has uncountably many subvarieties. We find a four-element, inherently nonfinitely based idempotent slim groupoid; the variety generated by this groupoid has only finitely many subvarieties. We investigate free objects in some varieties of idempotent slim groupoids determined by permutational equations.},
author = {Ježek, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {groupoid; variety; nonfinitely based; varieties of idempotent slim groupoids; inherently nonfinitely based idempotent slim groupoids; free idempotent slim groupoids; permutation identities},
language = {eng},
number = {4},
pages = {1289-1309},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Varieties of idempotent slim groupoids},
url = {http://eudml.org/doc/31193},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Ježek, Jaroslav
TI - Varieties of idempotent slim groupoids
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 4
SP - 1289
EP - 1309
AB - Idempotent slim groupoids are groupoids satisfying $xxx̄$ and $x(yz)x̄z$. We prove that the variety of idempotent slim groupoids has uncountably many subvarieties. We find a four-element, inherently nonfinitely based idempotent slim groupoid; the variety generated by this groupoid has only finitely many subvarieties. We investigate free objects in some varieties of idempotent slim groupoids determined by permutational equations.
LA - eng
KW - groupoid; variety; nonfinitely based; varieties of idempotent slim groupoids; inherently nonfinitely based idempotent slim groupoids; free idempotent slim groupoids; permutation identities
UR - http://eudml.org/doc/31193
ER -
References
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- Slim groupoids, (to appear). (to appear) MR2357590
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