Applications of cotorsion pairs

Krause H, Solberg Ø (2003)
Journal of the London Mathematical Society. 2. Series 68(3): 631-650.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Krause, HenningUniBi; Solberg, Øyvind
Abstract / Bemerkung
For an artin algebra Lambda, cotorsion pairs are studied for the category mod A of finitely presented Lambda-modules and for the category Mod Lambda of all Lambda-modules. It is shown that every cotorsion pair for mod Lambda induces a cotorsion pair for Mod Lambda. This has some interesting applications, even for the category of finitely presented modules. Another theme of the paper is the interplay between cotorsion and torsion pairs. This leads to a conjecture which is an analogue of the telescope conjecture in stable homotopy theory.
Erscheinungsjahr
2003
Zeitschriftentitel
Journal of the London Mathematical Society. 2. Series
Band
68
Ausgabe
3
Seite(n)
631-650
ISSN
0024-6107
Page URI
https://pub.uni-bielefeld.de/record/1609229

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Krause H, Solberg Ø. Applications of cotorsion pairs. Journal of the London Mathematical Society. 2. Series. 2003;68(3):631-650.
Krause, H., & Solberg, Ø. (2003). Applications of cotorsion pairs. Journal of the London Mathematical Society. 2. Series, 68(3), 631-650. doi:10.1112/S0024610703004757
Krause, H., and Solberg, Ø. (2003). Applications of cotorsion pairs. Journal of the London Mathematical Society. 2. Series 68, 631-650.
Krause, H., & Solberg, Ø., 2003. Applications of cotorsion pairs. Journal of the London Mathematical Society. 2. Series, 68(3), p 631-650.
H. Krause and Ø. Solberg, “Applications of cotorsion pairs”, Journal of the London Mathematical Society. 2. Series, vol. 68, 2003, pp. 631-650.
Krause, H., Solberg, Ø.: Applications of cotorsion pairs. Journal of the London Mathematical Society. 2. Series. 68, 631-650 (2003).
Krause, Henning, and Solberg, Øyvind. “Applications of cotorsion pairs”. Journal of the London Mathematical Society. 2. Series 68.3 (2003): 631-650.