Persons: Kleiner, Georgii Borisovich

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Kleiner, Georgii Borisovich

Professor

Doctor of economical sciences (1989)

Speciality:

08.00.13 (Mathematical and instrumental methods of economics)

Birth date:

08.05.1946

E-mail:

Keywords:

modules over commutative rings; multiliner algebras; exterior algebras.

Main publications:

Kleiner G. B. O plyukkerovykh svoistvakh kolets // Matematicheskii sbornik, 1971, t. 84, # 4.
Kleiner G. B. Krullevy OR–koltsa plyukkerovy // Izvestiya AN SSSR, seriya matematicheskaya, 1973, t. 37, # 2.
Kleiner G. B. O neizmennosti ranga m–vektorov pri perekhode k polyu chastnykh // Uspekhi matematicheskikh nauk, # 3, 1977.
Kleiner G. B., Piontkovskii D. I. O determinirovannom analize sistem pokazatelei // Ekonomika i matematicheskie metody, 1998, # 2.
Kleiner G. B. Polivektory ranga 2 nad polyami i kommutativnymi koltsami // Matematicheskii sbornik, t. 193, # 5, 2002.

	Publications in Math-Net.Ru	Citations
	2002
1.	G. B. Kleiner, “Multivectors of rank 2 over fields and commutative rings”, Mat. Sb., 193:5 (2002), 77–94 ; Sb. Math., 193:5 (2002), 709–725
	1982
2.	G. B. Kleiner, “Criteria for estimating the parameters of production functions for processes to re controlled”, Avtomat. i Telemekh., 1982, no. 7, 139–147 ; Autom. Remote Control, 43:7 (1982), 956–962
	1977
3.	G. B. Kleiner, “Realization of divisors, and factorable modules over Noetherian integrally closed rings”, Uspekhi Mat. Nauk, 32:6(198) (1977), 225
4.	G. B. Kleiner, “Rank invariance of $m$-vectors over a commutative ring in the transition to a quotient field”, Uspekhi Mat. Nauk, 32:3(195) (1977), 165	1
	1974
5.	G. B. Kleiner, “Multivectors of rank 2”, Uspekhi Mat. Nauk, 29:3(177) (1974), 207–208	1
	1973
6.	G. B. Kleiner, “Krull $OP$-rings are Plücker rings”, Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973), 289–307 ; Math. USSR-Izv., 7:2 (1973), 287–305	5
7.	G. B. Kleiner, “Systems of linear equations over commutative rings”, Uspekhi Mat. Nauk, 28:6(174) (1973), 211–212
	1971
8.	G. B. Kleiner, “The decomposability of the elements of the exterior algebra of a free module”, Uspekhi Mat. Nauk, 26:4(160) (1971), 235–236	1
9.	G. B. Kleiner, “On Plücker properties of rings”, Mat. Sb. (N.S.), 84(126):4 (1971), 526–536 ; Math. USSR-Sb., 13:4 (1971), 517–528	9

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