Abstract
We describe the automorphisms of group GLn+(o), where (o) is a commutative ring with unity and with an invertible element 2, not generated by the divisors of zero, while the space Max (o) is Noetherian of dimension ≤ n−2.
Similar content being viewed by others
Literature cited
Yu. I. Merzlyakov, “Linear groups,” Journal of Soviet Mathematics,1, No. 5, 571–593 (1973).
J. Pomfret and B. R. McDonald, “Automorphisms of GLnR), R a local ring,” Trans. Amer. Math. Soc.,173, 379–387 (1972).
H. Bass, “K-theory and stable algebra,” Pubis. Math. IHES, No. 22, 489–544 (1964).
I. Kaplansky, “Projective modules,” Ann. Math.,68, No. 2, 372–377 (1958).
S.-J. Yan, “Linear groups over a ring,” Chinese Math.,7, 163–179 (1965).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 17, No. 2, pp. 285–291, February, 1975
Rights and permissions
About this article
Cite this article
Noskov, G.A. Automorphisms of groupGL n(o) for dim Max(o)⩽n-2. Mathematical Notes of the Academy of Sciences of the USSR 17, 165–168 (1975). https://doi.org/10.1007/BF01161874
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01161874