A+ CATEGORY SCIENTIFIC UNIT

Generalized canonical algebras and standard stable tubes

Volume 90 / 2001

Andrzej Skowro/nski Colloquium Mathematicum 90 (2001), 77-93 MSC: 16G10, 16G70, 18G05. DOI: 10.4064/cm90-1-7

Abstract

We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander–Reiten quivers admit faithful standard stable tubes.

Authors

  • Andrzej Skowro/nskiFaculty of Mathematics and Computer Science
    Nicholas Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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