Vladimir Andrunachievici Institute of Mathematics and Computer Science
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QRS v.17, n.2 (22), 2009
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Skew endomorphisms on some n-ary groups
Authors:
W. A. Dudek and N. A. Shchuchkin
Abstract
We characterize n-ary groups defined on a cyclic group and describe a group of their automorphisms induced by the skew operation. Finally, we consider splitting automorphisms.
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Contents
New fuzzy subquasigroups
Vague Lie subalgebras over a vague field
A probabilistic model of error-detecting codes based on quasigroups
Pure ideals in ternary semigroups
Secret-sharing schemes and orthogonal systems of k-ary operations
Prolongations of quasigroups by middle translations
Periodic quasigroup string transformations
Skew endomorphisms on some n-ary groups
Construction for subdirectly irreducible sloops of cardinality n2^m
N-fuzzy quasi-ideals in ordered semigroups
Generalized quadratic quasigroup equations with tree variables
New primitives for digital signature algorithms
Congruencies on an inverse AG**-groupoid via the natural partial order