Abstract
In this paper we study the link between formal group of dimension one and integrable derivations of a ring of unequal characteristic.
Similar content being viewed by others
References
Bonanzinga V.,Derivazioni integrabili, Tesi di dottorato, 1995.
Carfi V.,Integrable derivations in ring of analytic type over a DVR, Atti Sem. Mat. Fis. Università di Modena,32 (1983), No. 1, 1–10.
Fossum R. M.,Invariants and formal group Law Actions, in Contemporary Mathematics, vol. 43, 1985.
Frolhlich A.,Formal groups, in Lecture Notes in Math., 74, Springer-Verlag, New York/Berlin, 1968.
Hazewinkel M.,Formal group and applications, Academic press, New York/San Francisco, 1978.
Matsumura H.,Commutative Algebra, 2nd ed., Benjamin, 1980.
Matsumura H.,Integrable derivations, Nagoya Math. J.,87 (1982), 227–245.
Restuccia G., Matsumura H.,Integrable derivations in rings of unequal characteristic, Nagoya Math. J.,93 (1984), 173–178.
Restuccia G.,A few theorems on strong integrability of derivations, Atti Acc. Peloritana dei Pericolanti, Messina, Vol. LXV, 1987, 294–307.
Tyc A.,Invariants of linearly reductive formal group actions, J. Algebra,101 (1986), No. 1, 166–187.
Tyc A.,On F-integrable actions of the restricted Lie Algebra of a formal group F in characteristic p>0, Nagoya Math. 1.,115 (1989), 125–137.
Author information
Authors and Affiliations
Corresponding author
Additional information
Partially supported by M.U.R.S.T. (60%) and members of C.N.R.-G.N.S.A.G.A.
Rights and permissions
About this article
Cite this article
Crupi, M., Restuccia, G. Integrable derivations and formal groups in unequal characteristic. Rend. Circ. Mat. Palermo 47, 169–190 (1998). https://doi.org/10.1007/BF02844363
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02844363