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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. | Document URI: | http://hdl.handle.net/1942/18371 | Link to publication/dataset: | http://arxiv.org/abs/1412.6899 | Category: | O | Type: | Preprint |
Appears in Collections: | Research publications |
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