This article is cited in 10 papers

Foundations of algebraic $K$-theory

L. N. Vaserstein


Abstract: The fundamental concepts of (general) algebraic $K$-theory are expounded and it is proved that the higher $K$-functors of Volodin, Quillen, Swan and Gersten are the same.

MSC: 19D10, 16E30, 18A25, 18G30, 13F55

Received: 26.02.1975

 English version: Russian Mathematical Surveys, 1976, 31:4, 89–156

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