The category of good modules over a quasi-hereditary algebra has almost split sequences

Ringel, Claus Michael

The category of good modules over a quasi-hereditary algebra has almost split sequences

Ringel CM (1989) Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26.
Bielefeld.

Monographie | Veröffentlicht | Englisch

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OCT1990.pdf

URN

urn:nbn:de:0070-bipr-19902

Autor*in

Ringel, Claus Michael^UniBi

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

Let A be a quasi-hereditary algebra. The aim of this paper is to show that the category of all A-modules with good filtrations is functorially finite in A-mod, thus it has (relative) almost split sequences. This follows from a general result dealing with arbitrary artin algebras. For quasi-hereditary algebras, we will consider the relation between four rather interesting subcategories, one of them being the category of modules with good filtrations, and we will exhibit one particular module which is both a tilting and a cotilting module. It turns out that the quasi-hereditary algebras always come in pairs.

Erscheinungsjahr

1989

Serientitel

Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26

Seite(n)

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https://pub.uni-bielefeld.de/record/1780235

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Ringel CM. The category of good modules over a quasi-hereditary algebra has almost split sequences. Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26. Bielefeld; 1989.

Ringel, C. M. (1989). The category of good modules over a quasi-hereditary algebra has almost split sequences (Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26). Bielefeld.

Ringel, Claus Michael. 1989. The category of good modules over a quasi-hereditary algebra has almost split sequences. Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26. Bielefeld.

Ringel, C. M. (1989). The category of good modules over a quasi-hereditary algebra has almost split sequences. Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26, Bielefeld.

Ringel, C.M., 1989. The category of good modules over a quasi-hereditary algebra has almost split sequences, Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26, Bielefeld.

C.M. Ringel, The category of good modules over a quasi-hereditary algebra has almost split sequences, Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26, Bielefeld: 1989.

Ringel, C.M.: The category of good modules over a quasi-hereditary algebra has almost split sequences. Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26. Bielefeld (1989).

Ringel, Claus Michael. The category of good modules over a quasi-hereditary algebra has almost split sequences. Bielefeld, 1989. Preprint / Universität Bielefeld, Sonderforschungsbereich 343, Diskrete Strukturen in der Mathematik ; 89,26.

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