منابع مشابه
Quasigroups, right quasigroups and category coverings
The category of modules over a fixed quasigroup in the category of all quasigroups is equivalent to the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of abelian groups. The corresponding equivalent category of coverings, and the generalization to the right quasigroup case, are also described.
متن کاملVarieties of P-quasigroups
Decompositions of complete undirected graphs into sets of closed trails which partition the edge set of the graph and which contain each pair of distinct vertices exactly once at distance 2 define and are defined by a class of quasigroups called P-quasigroups. Conditions are established under which P-quasigroups are (or are not) homomorphic images of P-quasigroups which possess certain properti...
متن کاملAxioms for trimedial quasigroups
We give new equations that axiomatize the variety of trimedial quasigroups. We also improve a standard characterization by showing that right semimedial, left F-quasigroups are trimedial.
متن کاملSymmetries in Hexagonal Quasigroups
When it doesn’t cause confusion, we can omit the sign “·”, e.g. instead of (a · b) · (c · d) we may write ab · cd. In this article, Q will always be a hexagonal quasigroup. The basic example of hexagonal quasigroup is formed by the points of Euclidean plane, with the operation · such that the points a, b and a · b form a positively oriented regular triangle. This structure was used for all the ...
متن کاملPlenary stable quasigroups
Some results are obtained for quasigroups in which the operation of iterated squaring always leads to stability irrespective of the initial element.
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1990
ISSN: 0528-2195
DOI: 10.21136/cpm.1990.118398