@article{VMUMM_2014_3_a8,
author = {A. Giambruno and M. V. Zaicev},
title = {Asymptotic growth of codimensions of identities of associative algebras},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {54--56},
year = {2014},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a8/}
}
TY - JOUR AU - A. Giambruno AU - M. V. Zaicev TI - Asymptotic growth of codimensions of identities of associative algebras JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2014 SP - 54 EP - 56 IS - 3 UR - http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a8/ LA - ru ID - VMUMM_2014_3_a8 ER -
A. Giambruno; M. V. Zaicev. Asymptotic growth of codimensions of identities of associative algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 54-56. http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a8/
[1] Bakhturin Yu.A., Tozhdestva v algebrakh Li, Nauka, M., 1985 | MR
[2] Giambruno A., Zaicev M., Polynomial Identities and Asymptotic Methods, Mathematical Surveys and Monographs, 122, Amer. Math. Soc., Providence, RI, 2005 | DOI | MR | Zbl
[3] Krakowski D., Regev A., “The polynomial identities of the Grassman algebra”, Trans. Amer. Math. Soc., 181 (1973), 429–438 | MR | Zbl
[4] Maltsev Yu.N., “Bazis tozhdestv algebry verkhnetreugolnykh matrits”, Algebra i logika, 10 (1971), 393–400 | MR | Zbl
[5] Regev A., “Existence of polynomial identities in $A\otimes B$”, Bull. Amer. Math. Soc., 77:6 (1971), 1067–1069 | DOI | MR | Zbl
[6] Latyshev V.N., “K teoreme Regeva o tozhdestvakh tenzornogo proizvedeniya PI-algebr”, Uspekhi matem. nauk, 27:4 (1972), 213–214 | MR | Zbl
[7] Kemer A.R., “Shpekhtovost T-idealov s polinomialnym rostom korazmernostei”, Sib. matem. zhurn., 19 (1978), 54–69 | Zbl
[8] Regev A., “Codimensions and trace codimensions of matrices are asymptotically equal”, Isr. J. Math., 47 (1984), 246–250 | DOI | MR | Zbl
[9] Giambruno A., Zaicev M., “Exponential codimension growth of P.I. algebras: an exact estimate”, Adv. Math., 142 (1999), 221–243 | DOI | MR | Zbl
[10] Drensky V., “Relations for the cocharacter sequences of T-ideals”, Proc. Int. Conf. on Algebra Honoring A. Malcev, Contemp. Math., 131, 1992, 285–300 | DOI | MR | Zbl
[11] Gordienko A.S., “Gipoteza Regeva i kokharaktery tozhdestv assotsiativnykh algebr PI-eksponenty 1 i 2”, Matem. zametki, 83:6 (2008), 815–824 | DOI | Zbl
[12] Gordienko A.S., “Regev's conjecture and codimensions of P.I. algebras”, Acta Appl. Math., 108 (2009), 33–55 | DOI | MR | Zbl
[13] Berele A., Regev A., “Codimensions of products and intersections of verbally prime T-ideals”, Isr. J. Math., 103 (1998), 17–28 | DOI | MR | Zbl
[14] Giambruno A., Zaicev M., “Minimal varieties of exponential growth”, Adv. Math., 174 (2003), 31–323 | DOI | MR
[15] Berele A., “Properties of hook Schur functions with applications to p.i. algebras”, Adv. Appl. Math., 41:1 (2008), 52–75 | DOI | MR | Zbl