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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18371

Title: Some generalizations of Preprojective algebras and their properties
Authors: DE THANHOFFER DE VOLCSEY, Louis
PRESOTTO, Dennis
Issue Date: 2015
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 ΠR(S) 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 ΠR(S) is itself noetherian and finite over its center and that each ΠR(S)d is finitely generated projective. We also prove that ΠR(S) is of finite global dimension if R and S are regular.
URI: http://hdl.handle.net/1942/18371
Link to publication: http://arxiv.org/abs/1412.6899
Category: O
Type: Preprint
Appears in Collections: Research publications

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