Double short exact sequences and K1 of an exact category

被引：12

作者：

Nenashev, A ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53225 Bonn, Germany

来源：

K-THEORY | 1998年 / 14卷 / 01期

关键词：

exact category; K-1; G-construction; double short exact sequence;

D O I：

10.1023/A:1007722523594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a modification of the Bass group K-1(det). Our group is defined by generators and relations, in terms of double short exact sequences instead of automorphisms. We establish its relation to Quillen's K-1 by dealing with loops in the G-construction.

引用

页码：23 / 41

页数：19

共 50 条

[41] EXACT COMPUTATION SEQUENCES
PELIN, A
GALLIER, JH
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1986, 214 : 45 - 59
[42] A THEOREM ON EXACT SEQUENCES
DERR, LJ
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 56 (04) : 329 - 329
[43] Normality and short exact sequences of Hopf-Galois structures
Koch, Alan
Kohl, Timothy
Truman, Paul J.
Underwood, Robert
[J]. COMMUNICATIONS IN ALGEBRA, 2019, 47 (05) : 2086 - 2101
[44] ALMOST SHORT EXACT SEQUENCES IN NON-ABELIAN COHOMOLOGY
IGODT, P
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1986, 41 (01) : 51 - 61
[45] Exact sequences of graphs
Abbasi, Ahmad
Ramin, Ali
[J]. ALGEBRA AND DISCRETE MATHEMATICS, 2019, 28 (01): : 1 - 19
[46] K-theory and exact sequences of partial translation algebras
Brodzki, Jacek
Niblo, Graham A.
Wright, Nick
[J]. ADVANCES IN MATHEMATICS, 2015, 273 : 287 - 323
[47] NOTE ON WHEN A REGULAR CATEGORY IS EXACT
FAY, TH
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (05): : A478 - A478
[48] The Hall module of an exact category with duality
Young, Matthew B.
[J]. JOURNAL OF ALGEBRA, 2016, 446 : 291 - 322
[49] On the maximal exact structure of an additive category
Rump, Wolfgang
[J]. FUNDAMENTA MATHEMATICAE, 2011, 214 (01) : 77 - 87
[50] COIDEMPOTENT SUBCOALGEBRAS AND SHORT EXACT SEQUENCES OF FINITARY 2-REPRESENTATIONS
Chan, Aaron
Miemietz, Vanessa
[J]. NAGOYA MATHEMATICAL JOURNAL, 2021, 243 : 316 - 341

← 1 2 3 4 5 →