Are Special Biserial Algebras Homologically Tame?

Ringel CM (2022)
Algebras and Representation Theory 26: 999–1005.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
Birge Huisgen-Zimmermann calls a finite dimensional algebra homologically tame provided the little and the big finitistic dimension are equal and finite. The question formulated in the title has been discussed by her in the paper "Representation-tame algebras need not be homologically tame", by looking for any r >= 1 at a sequence of algebras ?(m) with big finitistic dimension r + m. As we will show, also the little finitistic dimension of ?(m) is r + m. It follows that contrary to her assertion, all the algebras ?(m) are homologically tame.
Stichworte
Finitistic dimension; Special biserial algebras
Erscheinungsjahr
2022
Zeitschriftentitel
Algebras and Representation Theory
Band
26
Seite(n)
999–1005
ISSN
1386-923X
eISSN
1572-9079
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2962188

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Ringel CM. Are Special Biserial Algebras Homologically Tame? Algebras and Representation Theory . 2022;26:999–1005.
Ringel, C. M. (2022). Are Special Biserial Algebras Homologically Tame? Algebras and Representation Theory , 26, 999–1005. https://doi.org/10.1007/s10468-022-10120-x
Ringel, Claus Michael. 2022. “Are Special Biserial Algebras Homologically Tame?”. Algebras and Representation Theory 26: 999–1005.
Ringel, C. M. (2022). Are Special Biserial Algebras Homologically Tame? Algebras and Representation Theory 26, 999–1005.
Ringel, C.M., 2022. Are Special Biserial Algebras Homologically Tame? Algebras and Representation Theory , 26, p 999–1005.
C.M. Ringel, “Are Special Biserial Algebras Homologically Tame?”, Algebras and Representation Theory , vol. 26, 2022, pp. 999–1005.
Ringel, C.M.: Are Special Biserial Algebras Homologically Tame? Algebras and Representation Theory . 26, 999–1005 (2022).
Ringel, Claus Michael. “Are Special Biserial Algebras Homologically Tame?”. Algebras and Representation Theory 26 (2022): 999–1005.
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2023-12-12T14:47:18Z
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