Analogues of Gluskin–Hosszú and Malyshev theorems for strongly dependent n-ary operations
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Aleksandr V. Cheremushkin
Abstract
The paper contains an extension of Malyshev theorem for n-ary quasigroups with a right or left weak invertibility property to the case of strongly dependent n-ary operations. As a corollary a new proof of Gluskin–Hosszú theorem for strongly dependent n-ary semigroups is obtained.
Originally published in Diskretnaya Matematika (2018) 30, №2, 138–147 (in Russian).
References
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Articles in the same Issue
- Frontmatter
- On closed classes in partial k-valued logic that contain the class of monotone functions
- On relationship between the parameters characterizing nonlinearity and nonhomomorphy of vector spaces transformation
- Analogues of Gluskin–Hosszú and Malyshev theorems for strongly dependent n-ary operations
- Generation of the alternating group by modular additions
- Formulas for a characteristic of spheres and balls in binary high-dimensional spaces
- Short single tests for circuits with arbitrary stuck-at faults at outputs of gates
- Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings
- Compositions of a numerical semigroup
Articles in the same Issue
- Frontmatter
- On closed classes in partial k-valued logic that contain the class of monotone functions
- On relationship between the parameters characterizing nonlinearity and nonhomomorphy of vector spaces transformation
- Analogues of Gluskin–Hosszú and Malyshev theorems for strongly dependent n-ary operations
- Generation of the alternating group by modular additions
- Formulas for a characteristic of spheres and balls in binary high-dimensional spaces
- Short single tests for circuits with arbitrary stuck-at faults at outputs of gates
- Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings
- Compositions of a numerical semigroup
