Geodesic
Homological determinacy of $p$-adic representations of rings with
Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1001-1016

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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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     author = {A. V. Yakovlev},
     title = {Homological determinacy of $p$-adic representations of rings with},
     journal = {Izvestiya. Mathematics },
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     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a2/}
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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/