Peryazev Nikolai Alekseevich

Publications in Math-Net.Ru

1. Systems of inclusions with unknowns in multioperations
   
   Bulletin of Irkutsk State University. Series Mathematics, 38 (2021),  112–123
2. Identities in fixed dimension algebras of multioperations
   
   Bulletin of Irkutsk State University. Series Mathematics, 29 (2019),  86–97
3. Galois theory for finite algebras of operations and multioperations of rank 2
   
   Bulletin of Irkutsk State University. Series Mathematics, 28 (2019),  113–122
4. On some sufficient condition for the equality of multi-clone and super-clone
   
   J. Sib. Fed. Univ. Math. Phys., 11:1 (2018),  97–102
5. Minimal algebras of unary multioperations
   
   J. Sib. Fed. Univ. Math. Phys., 9:2 (2016),  220–224
6. Galois theory for clones and superclones
   
   Diskr. Mat., 27:4 (2015),  79–93
7. Standard forms of multioperations in superclones
   
   Bulletin of Irkutsk State University. Series Mathematics, 3:4 (2010),  88–95
8. Clones, Co-Clones, Hyperclones and Superclones
   
   Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:2 (2009),  120–125
9. On representation of $k$-valued logic functions by a sum of products of subfunctions
   
   Diskr. Mat., 19:2 (2007),  94–100
10. Criteria for Boolean functions to be repetition-free in pre-elementary bases of rank 3
    
    Diskr. Mat., 17:2 (2005),  127–138
11. Polynomial decomposition of Boolean functions into images of homogeneous operators of nondegenerate functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 1,  17–21
12. Complexity of Boolean functions in a class of polynomial polarized forms
    
    Algebra Logika, 34:3 (1995),  323–326
13. Realization of Boolean functions by nonrepetitive formulas
    
    Diskr. Mat., 7:3 (1995),  61–68
14. Positive theories of free monoids
    
    Algebra Logika, 32:2 (1993),  148–159
15. Decomposition of Boolean functions into the sum of products of subfunctions
    
    Diskr. Mat., 5:3 (1993),  102–104
16. Polynomial decomposition of Boolean functions
    
    Mat. Zametki, 53:2 (1993),  25–29
17. Polynomial expansions of Boolean functions in nondegenerate functions
    
    Algebra Logika, 30:6 (1991),  631–637
18. Positive indistinguishability of algebraic systems, and completeness of positive theories
    
    Mat. Zametki, 38:2 (1985),  208–217


19. In memory of Valeriy Matveevich Kopytov
    
    Algebra Logika, 61:6 (2022),  I–IV
20. To the 70th anniversary of the birth of V. V. Bludov
    
    Bulletin of Irkutsk State University. Series Mathematics, 32 (2020),  124–133
21. To the 90th anniversary of the birth of A. I. Kokorin. Stages of scientific and pedagogical way
    
    Bulletin of Irkutsk State University. Series Mathematics, 29 (2019),  138–154
22. Evgenii Andreevich Palyutin (1945–2018)
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  1–10
23. The first professors of mathematics in Irkutsk
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:1 (2012),  96–103