"K<sub>1</sub> of exact categories by mirror image sequences" by Clayton Sherman
 

K1 of exact categories by mirror image sequences

Abstract

We establish a presentation for K1 of any small exact category P, based on the notion of mirror image sequence, originally introduced by Grayson in 1979; as part of the proof, we show that every element of K1(P) arises from a mirror image sequence. This provides an alternative to Nenashev's presentation in terms of double short exact sequences.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1017/is012003019jkt187

Keywords

Algebraic K-theory, double short exact sequence, K1, mirror image sequence

Publication Date

2-1-2013

Journal Title

Journal of K-Theory

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