Zobrazeno 1 - 10 of 54 pro vyhledávání: '"M. I. Anokhin"'
1
Pseudo-free families of computational universal algebras
Autor: M I Anokhin
Publikováno v: Journal of Mathematical Cryptology, Vol 15, Iss 1, Pp 197-222 (2020)
Let Ω be a finite set of finitary operation symbols. We initiate the study of (weakly) pseudo-free families of computational Ω-algebras in arbitrary varieties of Ω-algebras. A family (Hd | d ∈ D) of computational Ω-algebras (where D ⊆ {0, 1}*
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfb6c7c756694e2a1877356ea83a73c0
https://doi.org/10.1515/jmc-2020-0014
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4
Pseudo-free families of finite computational elementary abelian p-groups
Autor: M I Anokhin
Publikováno v: Groups Complexity Cryptology. 9:1-18
We initiate the study of (weakly) pseudo-free families of computational elementary abelian pgroups, where p is an arbitrary fixed prime. We restrict ourselves to families of computational elementary abelian p-groups Gd such that for every index d, ea
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::673c43c67d66d7f7e7533c4477a11950
https://doi.org/10.1515/gcc-2017-0001
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6
Splittability ofp-ary functions
Autor: M I Anokhin
Publikováno v: Sbornik: Mathematics. 198:935-947
A function ϕ from an n-dimensional vector space V over a field F of p elements (where p is a prime) into F is called splittable if ϕ(u + w) = ψ(u) + χ(w), u ∈ U , w ∈ W , for some non-trivial subspaces U and W such that U ⊕ W = V and for so
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::97f73c0e4dff5695fc5391846c20b582
https://doi.org/10.1070/sm2007v198n07abeh003867
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7
[Untitled]
Autor: M I Anokhin
Publikováno v: Mathematical Notes. 74:3-11
Let G be a group, let A be an Abelian group, and let n be an integer such that n ≥ −1. In the paper, the sets Φn(G,A) of functions from G into A of degree not greater than n are studied. In essence, these sets were introduced by Logachev, Sal'ni
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3fda3d03fbe31ade1343db54baf60916
https://doi.org/10.1023/a:1025001013073
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8
Decidability of classes of algebraic systems in polynomial time
Autor: M I Anokhin
Publikováno v: Sbornik: Mathematics. 193:157-186
For some classes of algebraic systems several kinds of polynomial-time decidability are considered, which use an oracle performing signature operations and computing predicates. Relationships between various kinds of decidability are studied. Several
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ad2d18909b4135495396e7dfec4d3e29
https://doi.org/10.1070/sm2002v193n02abeh000625
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9
Embedding lattices in lattices of varieties of groups
Autor: M I Anokhin
Publikováno v: Izvestiya: Mathematics. 63:649-665
If? is a?variety of groups and? is a?subvariety, then the symbol denotes the complete lattice of varieties? such that . Let , where? is the lattice of subspaces of the -dimensional vector space over the field of two elements, and let be the Cartesian
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::10b5a9daae3b208596585be301a97110
https://doi.org/10.1070/im1999v063n04abeh000250
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10
A basis of identities of a variety generated by a finitely-based quasi-variety of groups
Autor: M I Anokhin
Publikováno v: Sbornik: Mathematics. 189:1115-1124
Examples are constructed of soluble finitely-based quasi-varieties of groups that generate non-finitely based varieties (with degree of solubility at most 7).
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4481251dc3511230065257238afe35f2
https://doi.org/10.1070/sm1998v189n08abeh000330
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