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Tronin, Sergei Nikolaevich
Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 26

Number of views:
This page:697
Abstract pages:6543
Full texts:1498
References:656
Professor
Doctor of physico-mathematical sciences (2011)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,
Website: http://www.ksu.ru/persons/5202.ru.html
Keywords: operad; algebra; superagebra; variety; identity; category; functor; module; Morita equivalence; graph; hypergraph; code, cipher, didital signature.

Subject:

Algebraic aspecta of operad theory. Varieties od algebras over operads. Connections between theory of operads and theory of categories. Morita equivalence for rings and for operads. Categories and rings of fractions. Projective modules and algebras. Applicatios of the operad theory to graph theory, representations theory and coding theory. Algebraic cryptography.
   
Main publications:
  • Tronin S. N. O kommutativnykh assotsiativnykh proektivnykh algebrakh ranga 2 nad sovershennym polem // Matematicheskie zametki. 1987. T. 41, vyp. 6. S. 776–780.
  • Tronin S. N. Proizvedeniya v kategoriyakh chastnykh i universalnoe obraschenie gomomorfizmov // Matematicheskii sbornik. 1997. T. 188, #  10. S. 109–130.
  • Tronin S. N. Retrakty i retraktsii svobodnykh algebr // Izvestiya vuzov. Matematika. 1998. # 1. S. 67–78.
  • Tronin S. N. O Morita-kontekstakh, voznikayuschikh pri izomorfizme nekotorykh podkolets kolets endomorfizmov // Izvestiya vuzov. Matematika. 1997. # 8. S. 50–58.
  • Tronin S. N., Kopp O. A. Matrichnye lineinye operady // Izvestiya vuzov. Matematika. 2000. #  6. S .53–62.

http://www.mathnet.ru/eng/person8550
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/361476

Publications in Math-Net.Ru
2017
1. A. R. Gaynullina, S. N. Tronin, “Algebras over the operad of hollow cubes and a new metric function on the non-negative quadrant of the Euclidean plane”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159:1 (2017),  21–32  mathnet  elib
2016
2. S. N. Tronin, “On algebras over multicategories”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 2,  62–74  mathnet; Russian Math. (Iz. VUZ), 60:2 (2016), 52–61  isi  scopus
2013
3. S. N. Tronin, R. N. Tuktamyshov, “Operads of hypergraphs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 4,  61–73  mathnet; Russian Math. (Iz. VUZ), 57:4 (2013), 52–62  scopus
2012
4. S. N. Tronin, “Verbal categories and identities of universal algebras”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  125–141  mathnet
2011
5. S. N. Tronin, “Natural multitransformations of multifunctors”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 11,  58–71  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:11 (2011), 49–60  scopus
2010
6. S. N. Tronin, “Algebras over operad of spheres”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, 3,  72–81  mathnet  mathscinet; Russian Math. (Iz. VUZ), 54:3 (2010), 63–71  scopus
2009
7. S. N. Tronin, L. T. Abdulmyanova, “The operad of finite labeled tournaments”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, 2,  65–75  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:2 (2009), 59–67
8. S. N. Tronin, “On superalgebras over operads”, Sibirsk. Mat. Zh., 50:6 (2009),  1401–1412  mathnet  mathscinet  elib; Siberian Math. J., 50:6 (2009), 1106–1114  isi  elib  scopus
9. S. N. Tronin, “Superalgebras and operads. I”, Sibirsk. Mat. Zh., 50:3 (2009),  631–646  mathnet  mathscinet  elib; Siberian Math. J., 50:3 (2009), 503–514  isi  elib  scopus
2008
10. S. N. Tronin, “Multicategories and varieties of many-sorted algebras”, Sibirsk. Mat. Zh., 49:5 (2008),  1184–1201  mathnet  mathscinet; Siberian Math. J., 49:5 (2008), 944–958  isi  scopus
2007
11. S. N. Tronin, “On retracts and retractions of free modules over graded rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 7,  71–75  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 51:7 (2007), 68–71
2006
12. S. N. Tronin, “Operads and varieties of algebras defined by polylinear identities”, Sibirsk. Mat. Zh., 47:3 (2006),  670–694  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:3 (2006), 555–573  isi  scopus
2004
13. S. N. Tronin, L. D. Gareeva, “On some operads associated with the operad of symmetric groups. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 9,  61–72  mathnet  mathscinet; Russian Math. (Iz. VUZ), 48:9 (2004), 58–68
14. S. N. Tronin, A. V. Semenova, “Operads of finite labeled graphs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 4,  50–60  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 48:4 (2004), 48–57
2002
15. S. N. Tronin, “Operads in the category of convexors. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 5,  61–69  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:5 (2002), 59–67
16. S. N. Tronin, “Operads in the category of convexors. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 3,  42–50  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:3 (2002), 38–46
17. S. N. Tronin, “On the Relation between Cardinalities of 1-Orbits and 1-Information of Words”, Probl. Peredachi Inf., 38:1 (2002),  42–47  mathnet  mathscinet  zmath; Problems Inform. Transmission, 38:1 (2002), 36–40
18. S. N. Tronin, “Abstract clones and operads”, Sibirsk. Mat. Zh., 43:4 (2002),  924–936  mathnet  mathscinet  zmath; Siberian Math. J., 43:4 (2002), 746–755  isi
2000
19. S. N. Tronin, O. A. Kopp, “Matrix linear operads”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 6,  53–62  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 44:6 (2000), 50–59
1998
20. S. N. Tronin, “Retracts and retractions of free algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, 1,  67–78  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 42:1 (1998), 65–77
1997
21. S. N. Tronin, “The Morita-contexts which arise in isomorphism between some subrings of the rings of endomorphisms”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 8,  50–58  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:8 (1997), 46–54
22. S. N. Tronin, “Products in categories of fractions and universal inversion of homomorphisms”, Mat. Sb., 188:10 (1997),  109–130  mathnet  mathscinet  zmath; Sb. Math., 188:10 (1997), 1521–1541  isi  scopus
1987
23. S. N. Tronin, “Commutative associative projective algebras of rank two over a perfect field”, Mat. Zametki, 41:6 (1987),  776–780  mathnet  mathscinet  zmath; Math. Notes, 41:6 (1987), 437–440  isi
1985
24. S. N. Tronin, “Retracts of polynomial rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, 2,  84–85  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:2 (1985), 108–111
1984
25. S. N. Tronin, “Systems of generators of projective algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, 5,  63–72  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:5 (1984), 77–87
26. S. N. Tronin, “One construction in the theory of projective algebras”, Mat. Zametki, 35:5 (1984),  647–652  mathnet  mathscinet  zmath; Math. Notes, 35:5 (1984), 339–341  isi
2012
27. A. N. Abyzov, Yu. A. Alpin, N. A. Koreshkov, M. F. Nasrutdinov, S. N. Tronin, “Algebraic studies at Kazan University from V. V. Morozov to our days”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  44–59  mathnet

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