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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The strong global dimension of piecewise hereditary algebras

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Author(s):
Alvares, Edson Ribeiro ; Le Meur, Patrick ; Marcos, Eduardo N.
Total Authors: 3
Document type: Journal article
Source: Journal of Algebra; v. 481, p. 36-67, JUL 1 2017.
Web of Science Citations: 2
Abstract

Let A be a finite-dimensional piecewise hereditary algebra over an algebraically closed field. This text investigates the strong global dimension of A. This invariant is characterised in terms of the lengths of sequences of tilting mutations relating A to a hereditary abelian category, in terms of the generating hereditary abelian subcategories of the derived category of A, and in terms of the Auslander-Reiten structure of that derived category. (C) 2017 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants