Geodesic
Homological determinacy of $p$-adic representations of rings with
Izvestiya. Mathematics, Tome 4 (1970) no. 5, pp. 1001-1016 Cet article a éte moissonné depuis la source Math-Net.Ru

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For rings with power basis it is proved that if two modules which are free and finitely generated over the ring of $p$-adic integers have cohomology of identical behavior, then they are “almost isomorphic”. 
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A. V. Yakovlev. Homological determinacy of $p$-adic representations of rings with. Izvestiya. Mathematics, Tome 4 (1970) no. 5, pp. 1001-1016. http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a2/

[1] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960

[2] Zarisskii O., Samyuel P., Kommutativnaya algebra, t. 2, IL, M., 1963

[3] Berman S. D., Gudivok P. M., “O tselochislennykh predstavleniyakh konechnykh grupp”, Dokl. AN SSSR, 145 (1962), 1199–1201 | MR | Zbl

[4] Heller A., Reiner I., “Representation of cyclic groups in rings of integers. I”, Ann. Math., 76 (1962), 73–92 | DOI | MR | Zbl

[5] Roiter A. V., “O predstavleniyakh tsiklicheskoi gruppy chetvertogo poryadka tselochislennymi matritsami”, Vestn. Leningr. un-ta, 19 (1960), 65–74 | MR | Zbl

[6] Borevich Z. I., “Multiplikativnaya gruppa regulyarnogo lokalnogo polya s tsiklicheskoi gruppoi operatorov”, Izv. AN SSSR. Ser. matem., 28 (1964), 707–712 | Zbl