Geodesic
Proof of the congruence conjecture for generalized rings
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 29, Tome 443 (2016), pp. 91-94

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In 2007 A. L. Smirnov formulated an interesting conjecture on generalized rings introduced and studied by N. V. Durov. In this paper we prove the conjecture. 
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     author = {S. A. Evdokimov},
     title = {Proof of the congruence conjecture for generalized rings},
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a7/}
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S. A. Evdokimov. Proof of the congruence conjecture for generalized rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 29, Tome 443 (2016), pp. 91-94. http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a7/