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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 | Source: | 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. | Keywords: | non-commutative algebras; preprojective algebras | Document URI: | http://hdl.handle.net/1942/22975 | Link to publication/dataset: | www.sciencedirect.com/science/article/pii/S002186931630357X?np=y | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2016.10.001 | ISI #: | 000388157100021 | Rights: | C) 2016 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
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Published version.pdf Restricted Access | Published version | 536.65 kB | Adobe PDF | View/Open Request a copy |
Preprojective Algebras.pdf | Peer-reviewed author version | 412.32 kB | Adobe PDF | View/Open |
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