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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22975

Title: Some generalizations of preprojective algebras and their properties
Authors: Presotto, Dennis
de Thanhoffer de Volcsey, Louis
Issue Date: 2017
Citation: JOURNAL OF ALGEBRA, 470, p. 450-483
Abstract: In this note we consider a notion of relative Frobenius pairs of commutative rings S/R. To such a pair, we associate an N-graded R -algebra which has a simple description and coincides with the preprojective algebra of a quiver with a single central node and several outgoing edges in the split case. If the rank of S over R is 4 and R is Noetherian, we prove that the generalized preprojective algebra is itself Noetherian and finite over its center and that it is finitely generated projective in each degree. We also prove that generalized preprojective algebras are of finite global dimension if the rings R and S are regular.
URI: http://hdl.handle.net/1942/22975
Link to publication: www.sciencedirect.com/science/article/pii/S002186931630357X?np=y
DOI: 10.1016/j.jalgebra.2016.10.001
ISI #: 000388157100021
ISSN: 0021-8693
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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