Persons: Tronin, Sergei Nikolaevich

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Tronin, Sergei Nikolaevich

Statistics Math-Net.Ru
Total publications:	27
Scientific articles:	26

Number of views:
This page:	751
Abstract pages:	6654
Full texts:	1551
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
	2016
2.	S. N. Tronin, “On algebras over multicategories”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 2, 62–74 ; Russian Math. (Iz. VUZ), 60:2 (2016), 52–61
	2013
3.	S. N. Tronin, R. N. Tuktamyshov, “Operads of hypergraphs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 4, 61–73 ; Russian Math. (Iz. VUZ), 57:4 (2013), 52–62
	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
	2011
5.	S. N. Tronin, “Natural multitransformations of multifunctors”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 11, 58–71 ; Russian Math. (Iz. VUZ), 55:11 (2011), 49–60
	2010
6.	S. N. Tronin, “Algebras over operad of spheres”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, 3, 72–81 ; Russian Math. (Iz. VUZ), 54:3 (2010), 63–71
	2009
7.	S. N. Tronin, L. T. Abdulmyanova, “The operad of finite labeled tournaments”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, 2, 65–75 ; 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 ; Siberian Math. J., 50:6 (2009), 1106–1114
9.	S. N. Tronin, “Superalgebras and operads. I”, Sibirsk. Mat. Zh., 50:3 (2009), 631–646 ; Siberian Math. J., 50:3 (2009), 503–514
	2008
10.	S. N. Tronin, “Multicategories and varieties of many-sorted algebras”, Sibirsk. Mat. Zh., 49:5 (2008), 1184–1201 ; Siberian Math. J., 49:5 (2008), 944–958
	2007
11.	S. N. Tronin, “On retracts and retractions of free modules over graded rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 7, 71–75 ; 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 ; Siberian Math. J., 47:3 (2006), 555–573
	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 ; 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 ; 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 ; 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 ; 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 ; Problems Inform. Transmission, 38:1 (2002), 36–40
18.	S. N. Tronin, “Abstract clones and operads”, Sibirsk. Mat. Zh., 43:4 (2002), 924–936 ; Siberian Math. J., 43:4 (2002), 746–755
	2000
19.	S. N. Tronin, O. A. Kopp, “Matrix linear operads”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 6, 53–62 ; 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 ; 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 ; 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 ; Sb. Math., 188:10 (1997), 1521–1541
	1987
23.	S. N. Tronin, “Commutative associative projective algebras of rank two over a perfect field”, Mat. Zametki, 41:6 (1987), 776–780 ; Math. Notes, 41:6 (1987), 437–440
	1985
24.	S. N. Tronin, “Retracts of polynomial rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, 2, 84–85 ; 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 ; 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 ; Math. Notes, 35:5 (1984), 339–341

	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

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