A. A. Mingazov, “The exactness of the Gersten complex for Adzumaya algebras in equicharacteristic case”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, Issue 3(114),Pages <nobr>67

Mathematics

The exactness of the Gersten complex for Adzumaya algebras in equicharacteristic case

A. A. Mingazov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, 191023, Russian Federation

Abstract: One of the well-known problems of algebraic $K$-theory is the Gersten conjecture. In this work we prove a variant of Gersten conjecture for Adzumaya algebras in equicharacteristic case. Geometrical case of this proposition was proved in the article by I. Panin and A. Suslin.

Keywords: $K$-theory, Gersten conjecture, equicharacteristic ring, Adzumaya algebras.

UDC: 517.95

Received: 06.02.2014
Revised: 06.02.2014