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Simply connected tame quasi-tilted algebras

✍ Scribed by Ibrahim Assem; Flávio U. Coelho; Sonia Trepode

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 243 KB
Volume: 172
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(01)00162-1

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✦ Synopsis

We show that a tame quasi-tilted algebra A (over an algebraically closed ÿeld) is simply connected if and only if its ÿrst Hochschild cohomology group (with coe cients in the biomodule AAA) vanishes. We also classify these algebras, and give characterisations of those tame quasi-tilted algebras which are strongly simply connected.

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