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Some (2,n) combinatorial Stein groupoids (1980)

Pelling, M. J. ; Rogers, D. G.

Springer

Aequationes mathematicae 21 (1980), S. 225-235

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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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