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Prolongations of quasigroups by middle translations
Authors: I. I. Deriyenko and A. I. Deriyenko
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Abstract
This article is a continuation of the study of prolongations of quasigroups and Latin squares. Now using complete mappings and middle translations we present various characterizations of prolongations of quasigroups described in the previous volume of QRS. Based on these characterizations we find isotopic prolongations.Fulltext
– 0.21 Mb
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
