S. A. Evdokimov, “Proof of the congruence conjecture for generalized rings”, Zap. Nauchn. Sem. POMI, 2016, Volume 443,Pages <nobr>91

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Proof of the congruence conjecture for generalized rings

S. A. Evdokimov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: 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.

Key words and phrases: generalized ring, congruence conjecture, binary operation.

UDC: 512

Received: 11.01.2016