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This article is cited in 1 scientific paper (total in 1 paper)
Canonical Representatives in Strict Isomorphism Classes of Formal Groups
M. V. Bondarko St. Petersburg State University, Department of Mathematics and Mechanics
Abstract:
The aim of the present paper is to explicitly construct canonical representatives in every strict isomorphism class of commutative formal groups over an arbitrary torsion-free ring. The case of an $\mathbb Z_{(p)}$-algebra is treated separately. We prove that, under natural conditions on a subring, the canonical representatives of formal groups over the subring agree with the representatives for the ring. Necessary and sufficient conditions for a mapping induced on strict isomorphism classes of formal groups by a homomorphism of torsion-free rings to be injective and surjective are established.
Keywords:
commutative formal group, strict isomorphism, torsion-free ring, canonical representatives, universal curvilinear law.
Received: 04.02.2004 Revised: 04.12.2006
Citation:
M. V. Bondarko, “Canonical Representatives in Strict Isomorphism Classes of Formal Groups”, Mat. Zametki, 82:2 (2007), 183–189; Math. Notes, 82:2 (2007), 159–164
Linking options:
https://www.mathnet.ru/eng/mzm3801https://doi.org/10.4213/mzm3801 https://www.mathnet.ru/eng/mzm/v82/i2/p183
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Abstract page: | 354 | Full-text PDF : | 179 | References: | 43 | First page: | 2 |
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