Results 31 to 40 of about 62 (60)
Conjugate sets of loops and quasigroups. DC-quasigroups
, 2012 It is known that the set of conjugates the conjugate set of a binaryquasigroup can contain 1, 2, 3 or 6 elements. We investigate loops, IP-quasigroupsand T-quasigroups with distinct conjugate sets described earlier. We study in moredetail the quasigroups all conjugates of which are pairwise distinct shortly, DC-quasigroups.
Beleavscaia, G.B., Popovici, T.
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Smarandache Isotopy Theory Of Smarandache: Quasigroups And Loops
, 2007 The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache $f,g$ principal isotopes and G-Smarandache loops.
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A Study Of New Concepts In Smarandache Quasigroups And Loops
, 2009 The various areas where loop theory originated and through which it moved during the early part of its 70 years of history can be mapped and fitted not only in a geographical and a chronological sense but also conceptually. Loop theory is of course a relatively young subject which continues to grow day by day.
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Induced topologies for quasigroups and loops [PDF]
Pacific Journal of Mathematics, 1973 Baclawski, Kenneth, Kapp, Kenneth M.
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Effective codescent morphisms of $n$-quasigroups and $n$-loops
Advanced Studies: Euro-Tbilisi Mathematical JournalEffective codescent morphisms of $n$-quasigroups and of $n$-loops are characterized. To this end, it is proved that, for any $n\geq 1$, every codescent morphism of $n$-quasigroups (resp. $n$-loops) is effective. This statement generalizes our earlier results on qusigroups and loops.
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A Pair Of Smarandachely Isotopic Quasigroups And Loops Of The Same Variety
, 2008 10 ...
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Check character systems over quasigroups and loops
, 2003 In this paper we survey the known results concerning check character or digit systems with one check character based on quasigroups loops, groups. These are codes with one control symbol detecting errors of speci_c types. This survey includes the following sections: 1. Introduction. 2. Check character systems over groups. 3.
Belyavskaya, G.B. +4 more
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$F$-quasigroups isotopic to Moufang loops [PDF]
Czechoslovak Mathematical Journal, 1979 openaire +1 more source
On m-inverse loops and quasigroups with a long inverse cycle
, 2002 In an earlier paper, we showed that CI-loops and quasigroups with long inverse cycles have certain properties which make them particularly appropriate for use in cryptography. The same is true of the generalized structures called m-inverse loops and quasigroups. Here, we investigate the existence of such structures initially for small orders.
Keedwell, A. +2 more
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Rectangular groupoids and related structures.
Discrete Math, 2013 Boykett T.
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