Literature Cited
S. Amitsur, "TheT -ideals of the free ring," J. London Math. Soc.,30, 470–475 (1955).
S. Amitsur and J. Levitzki, "Minimal identities of algebras," Proc. Am. Math. Soc.,1, 449–463 (1950).
V. N. Latyshev, "Generalization of Hilbert's theorem on finiteness of bases," Sib. Mat. Zh.7, No. 6, 1422–1424 (1966).
Yu. N. Mal'tsev, "A basis of identities for the algebra of upper triangular matrices," Algebra Logika,10, No. 4, 393–400 (1971).
J. Lewin, "A matrix representation for associative algebras, I," Trans. Am. Math. Soc.,188, No. 2, 293–308 (1974).
W. Specht, "Gesetze in Ringen," Math. Z.,52, 557–589 (1950).
A. I. Shirshov, "Free Lie rings," Mat. Sb.,45, No. 2, 113–122 (1958).
C. Procesi, "Noncommutative affine rings," Atti Acc. Naz. Lincei, Mem. Sci. Fis. Mat. Nat., Ser. 8, Vol. 8, Fas. 6, 239–255 (1967).
Yu. P. Razmyslov, "The finite basis property for certain varieties of algebras," Algebra Logika,13, No. 6, 685–693 (1974).
A. I. Shirshov, "Rings with identical relations," Mat. Sb.,43, 277–283 (1957).
Additional information
Translated from Algebra i Logika, Vol. 16, No. 2, pp. 149–183, March–April, 1977.
Rights and permissions
About this article
Cite this article
Latyshev, V.N. Complexity of nonmatrix varieties of associative algebras. I. Algebra and Logic 16, 98–122 (1977). https://doi.org/10.1007/BF01668594
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01668594