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Algebra and Discrete Mathematics, 2019, Volume 28, Issue 2, Pages 184–194 (Mi adm724)  
RESEARCH ARTICLE

Continuous limits of tilting modules

Clezio Aparecido Braga

Centro de Ciências Exatas e Tecnológicas, Universidade Estadual do Oeste do Paraná Cascavel, Paraná, Brasil
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Abstract: We provided a constructive argument to obtain an infinite generated tilting module from a family of tilting modules satisfying some hypotheses. We also applied the result over a hereditary algebra to get the Lukas tilting module.
Keywords: direct limits, special preenvelope, tilting modules, infinitely generated tilting module.
Funding agency Grant number
Universidade Estadual do Oeste do Parana
The author would like to acknowledge support from Universidade Estadual do Oeste do Paraná.
Received: 29.08.2018
Revised: 14.05.2019
Document Type: Article
MSC: Primary 16EXX, 16GXX, 16E30; Secondary 16D90
Language: English
Citation: Clezio Aparecido Braga, “Continuous limits of tilting modules”, Algebra Discrete Math., 28:2 (2019), 184–194
Citation in format AMSBIB
\Bibitem{Bra19}
\by Clezio~Aparecido~Braga
\paper Continuous limits of tilting modules
\jour Algebra Discrete Math.
\yr 2019
\vol 28
\issue 2
\pages 184--194
\mathnet{http://mi.mathnet.ru/adm724}
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