Document Server@UHasselt >
Research publications >
Please use this identifier to cite or link to this item:
|Title: ||Some generalizations of Preprojective algebras and their properties|
|Authors: ||DE THANHOFFER DE VOLCSEY, Louis|
|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.|
|Link to publication: ||http://arxiv.org/abs/1412.6899|
|Appears in Collections: ||Research publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.