Linear Reedy categories, quasi-hereditary algebras and model structures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509052" target="_blank" >RIV/00216208:11320/25:10509052 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=VEBQgimt8I" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=VEBQgimt8I</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2025.110550" target="_blank" >10.1016/j.aim.2025.110550</a>
Alternative languages
Result language
angličtina
Original language name
Linear Reedy categories, quasi-hereditary algebras and model structures
Original language description
We study linear versions of Reedy categories in relation with finite dimensional algebras and abelian model structures. We prove that, for a linear Reedy category C over a field, the category of left C-modules admits a highest weight structure, which in case C is finite corresponds to a quasi-hereditary algebra with an exact Borel subalgebra. We also lift complete cotorsion pairs and abelian model structures to certain categories of additive functors indexed by linear Reedy categories, generalizing analogous results from the hereditary case. (c) 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA23-05148S" target="_blank" >GA23-05148S: Homological and structural theory in geometric contexts</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Mathematics
ISSN
0001-8708
e-ISSN
1090-2082
Volume of the periodical
481
Issue of the periodical within the volume
December 2025
Country of publishing house
US - UNITED STATES
Number of pages
57
Pages from-to
110550
UT code for WoS article
001582137500002
EID of the result in the Scopus database
2-s2.0-105016726533