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Title

Simply connected right multipeak algebras and the separation property

Authors 1

Affiliations

  1. Department of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Abstract

Let R=k(Q,I) be a finite-dimensional algebra over a field k determined by a bound quiver (Q,I). We show that if R is a simply connected right multipeak algebra which is chord-free and w~-free in the sense defined below then R has the separation property and there exists a preprojective component of the Auslander-Reiten quiver of the category prin(R) of prinjective R-modules. As a consequence we get in 4.6 a criterion for finite representation type of prin(R) in terms of the prinjective Tits quadratic form of R.

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Colloquium Mathematicum
1999/82/1
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Pages:
137-153
Main language of publication
English
Received
1999-04-15
Accepted
1999-07-13
Published
1999
Exact and natural sciences