2017
Том 69
№ 9

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Homological stabilization for dedekind rings of the arithmetic type

Suslin A. A., Zainalov B. R.

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Abstract

We study the problem of stabilization in the higher $K$ -theory of rings and improved stabilization. The triviality of the group of standard cycles is established in the case of arithmetic-type rings. Some applications of the obtained results to the problem of homological stabilization are presented.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 11, pp 1658-1671.

Citation Example: Suslin A. A., Zainalov B. R. Homological stabilization for dedekind rings of the arithmetic type // Ukr. Mat. Zh. - 2012. - 64, № 11. - pp. 1464-1476.

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