Recent Progress in Module Approximations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369835" target="_blank" >RIV/00216208:11320/17:10369835 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Recent Progress in Module Approximations
Original language description
We present two recent developments in the approximation theory of modules. The first one investigates boundaries of this theory, namely the classes naturally occurring in homological algebra, but not providing for approximations (e.g., the class of all flat Mittag-Leffler modules). We introduce the key tools for their study which involve set-theoretic methods combined with (infinite dimensional) tilting theory. The second development concerns tilting classes, their structure over commutative rings, and the recent generalization to silting modules and classes.
Czech name
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Czech description
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Project
<a href="/en/project/GA14-15479S" target="_blank" >GA14-15479S: Representation Theory (Structural Decompositions and Their Constraints)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Groups, Modules, and Model Theory - Surveys and Recent Developments: In Memory of Rüdiger Göbel
ISBN
978-3-319-51717-9
ISSN
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e-ISSN
neuvedeno
Number of pages
22
Pages from-to
191-212
Publisher name
SPRINGER INT PUBLISHING AG
Place of publication
Německo
Event location
Mülheim an der Ruhr, Germany
Event date
Feb 1, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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