AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN

Krause H (2005)
Bulletin of the London Mathematical Society 37(03): 361-372.

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DOI
Autor*in
Krause, HenningUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
A classical theorem of Zimmermann describes the relation between almost split sequences in the category of finitely presented modules and those in the category of all modules over some fixed ring. An analogue of Auslander–Reiten triangles in triangulated categories is proved in this paper. This is used to explain the relation between different existence results for Auslander–Reiten triangles, which are based either on Brown's representability theorem, or on the existence of Serre functors. 2000 Mathematics Subject Classification 18E30, 16G70 (primary), 14F05, 55U35 (secondary).
Erscheinungsjahr
2005
Zeitschriftentitel
Bulletin of the London Mathematical Society
Band
37
Ausgabe
03
Seite(n)
361-372
ISSN
0024-6093
eISSN
1469-2120
Page URI
https://pub.uni-bielefeld.de/record/2980483

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Krause H. AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN. Bulletin of the London Mathematical Society. 2005;37(03):361-372.
Krause, H. (2005). AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN. Bulletin of the London Mathematical Society, 37(03), 361-372. https://doi.org/10.1112/S0024609304004011
Krause, Henning. 2005. “AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN”. Bulletin of the London Mathematical Society 37 (03): 361-372.
Krause, H. (2005). AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN. Bulletin of the London Mathematical Society 37, 361-372.
Krause, H., 2005. AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN. Bulletin of the London Mathematical Society, 37(03), p 361-372.
H. Krause, “AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN”, Bulletin of the London Mathematical Society, vol. 37, 2005, pp. 361-372.
Krause, H.: AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN. Bulletin of the London Mathematical Society. 37, 361-372 (2005).
Krause, Henning. “AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN”. Bulletin of the London Mathematical Society 37.03 (2005): 361-372.

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https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024609304004011
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