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.
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Two quasigroup identities of importance in combinatorics, Schroeder’s Second Law and Stein’s Third Law, share many common features that are incorporated under the guise of palindromic quasigroups. A graph-theoretical technique yields a topological proof for the congruence restrictions on the spectrum of Schroeder or outer palindromic quasigroups. The potential for a comparable proof applicable ...
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If you are a vet, you will often need to know the weight of an animal, for example to prescribe the right amount of a drug. If your animal is a rabbit, this is not a problem. But if your animal is large, say a donkey, and if you are out in the field, then you will not be able to weigh the animal directly. However, if you have a tape measure then you can weigh the animal indirectly, if you have ...
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*Centre for Combinatorics Department of Mathematics The University of Queensland Brisbane, Qld 4072 Australia In 1992 Denes and Keedwell proposed an authentication scheme in which a message is divided into blocks of length t and a set of signature characters is obtained by taking the product of the elements of each block. An analysis of the security of Denes and Keedwell's scheme will be presen...
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Right groups are direct products of right zero semigroups and groups and they play a significant role in the semilattice decomposition theory of semigroups. Right groups can be characterized as associative right quasigroups (magmas in which left translations are bijective). If we do not assume associativity we get right quasigroups which are not necessarily representable as direct products of r...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1965
ISSN: 0001-8708
DOI: 10.1016/0001-8708(65)90042-3