Paper read at the Symposium on Categorical Algebra and Topology University of Cape Town 29 June—3 July 1981

HILBERT BASIS QUIVERS

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 157–175

DOI: 10.1080/16073606.1983.9632298

Author(s): Dorothea Hõinghaus , , Günther Richter ,

Keywords: 05C20 , 16A33 , 16A90 , 18A25

Abstract

A quiver G (= directed multigraph, loops and parallel edges are allowed) is called a Hilbert basis quiver (HBQ) if a certain path algebra R[G] over a ring R is right noetherian provided R does. Such path algebras can be considered as generalized polynomial rings over R. There is the following characterization:

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