Diassociativity is not finitely based relative to power associativity
Commentationes Mathematicae Universitatis Carolinae (2010)
- Volume: 51, Issue: 2, page 305-317
- ISSN: 0010-2628
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Abstract
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topKowalski, Tomasz. "Diassociativity is not finitely based relative to power associativity." Commentationes Mathematicae Universitatis Carolinae 51.2 (2010): 305-317. <http://eudml.org/doc/37762>.
@article{Kowalski2010,
abstract = {We show that the variety of diassociative loops is not finitely based even relative to power associative loops with inverse property.},
author = {Kowalski, Tomasz},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loop; diassociativity; equational basis; loop; diassociativity; equational basis},
language = {eng},
number = {2},
pages = {305-317},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Diassociativity is not finitely based relative to power associativity},
url = {http://eudml.org/doc/37762},
volume = {51},
year = {2010},
}
TY - JOUR
AU - Kowalski, Tomasz
TI - Diassociativity is not finitely based relative to power associativity
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2010
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 2
SP - 305
EP - 317
AB - We show that the variety of diassociative loops is not finitely based even relative to power associative loops with inverse property.
LA - eng
KW - loop; diassociativity; equational basis; loop; diassociativity; equational basis
UR - http://eudml.org/doc/37762
ER -
References
top- Evans T., Neumann B.H., 10.1112/jlms/s1-28.3.342, J. London Math. Soc. 28 (1953), 342–350. Zbl0050.01705MR0057867DOI10.1112/jlms/s1-28.3.342
- Kinyon M.K., Kunen K., Phillips J.D., 10.1007/s00012-002-8205-0, Algebra Universalis 48 (2002), 81–101. Zbl1058.20057MR1930034DOI10.1007/s00012-002-8205-0
- Chang C.C., Keisler H.J., Model Theory, Studies in Logic and the Foundations of Mathematics, vol. 73, 3rd edition, North-Holland, Amsterdam, 1990. Zbl0697.03022MR1059055
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