On functors preserving projective resolutions
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Published:2023-08-21
Issue:
Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Santana Ana Paula1,
Yudin Ivan1ORCID
Affiliation:
1. University of Coimbra, CMUC, Department of Mathematics, 3001-501 Coimbra, Portugal
Abstract
It is important for applications of Homological Algebra in Representation Theory to have control over the behavior of (minimal) projective resolutions under various functors. In this paper, we describe three broad families of functors that preserve such resolutions. We will use these results in our work on Representation Theory of Schur algebras.
Funder
Fundacao para a Ciencia e a Tecnologia
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory