منابع مشابه
Parastrophic-orthogonal Quasigroups
Annotated translation of Parastrophic-orthogonal quasigroups, Acad. Nauk Moldav. SSR, Inst. Mat.s Vychisl. Tsentrom, Kishinev, 1983, prepared by A.D.Keedwell and P.Syrbu based on the original Russian and on an earlier English translation supplied to the rst author by Belousov himself. The notion of orthogonality plays an important role in the theory of Latin squares, and consequently also in th...
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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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We show in this paper that for any group G of permutations of an (n + 1) set, any composite q > (n + 1)’ is the order of an n quasigroup Q whose conjugate invariant subgroup is precisely G. If y1 is a positive integer, and X is a finite set of cardinality IX/ = q, we say that Q is an n quasigroup on X of order q if Q is a (4”) X (n $ 1) array, with entries from X, with the property that each of...
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Current implementations of OFDM/OQAM are restricted to band-limited symmetric filters. To circumvent this, non-symmetric conjugate root (CR) filters are proposed for OQAM modulation. The system is applied to Generalized Frequency Division Multiplexing (GFDM) and a method for achieving transmit diversity with OQAM modulation is presented. The proposal reduces implementation complexity compared t...
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...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1978
ISSN: 0097-3165
DOI: 10.1016/0097-3165(78)90074-2