Self-orthogonal cyclicn-quasigroups |
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| Authors: | Zoran Stojaković Djura Paunić |
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| Institution: | (1) Institute of Mathematics, University of Novi Sad, P.o.b. 224, Y-21001 Novi Sad, Yugoslavia |
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| Abstract: | A quasigroup (Q,) satisfying the identityx(yx) =y (or the equivalent identity (xy)x =y) is called semisymmetric. Ann-quasigroup (Q, A) satisfying the identityA(A(x
1, ...,x
n
),x
1, ...,x
n–1) =x
n
is called cyclic. So, cyclicn-quasigroups are a generalization of semisymmetric quasigroups. In this paper, self-orthogonal cyclicn-quasigroups (SOCnQs) are considered. Some constructions ofSOCnQs are described and the spectrum of suchn-quasigroups investigated. |
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| Keywords: | Primary 05B15 20N05 Secondary 20N15 |
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