Electronic Resource
Springer
Aequationes mathematicae
21 (1980), S. 225-235
ISSN:
1420-8903
Keywords:
Primary 20N05, 05B05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A Stein groupoid (quasigroup) is a groupoid (quasigroup) satisfying the identityx(xy)=yx. We show that, for certain two variable identities, the variety of Stein groupoids defined by any one of these identities has the properties that every groupoid in the variety is a quasigroup and that the free groupoid generated by two elements is of finite (small) order which we determine. These results provide characterizations of some Stein quasigroups of small order and we give some further characterizations involving other identities.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02189356
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