Representable equivalences are represented by tilting modules
Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Gabriella D'Este (2006)
Commentationes Mathematicae Universitatis Carolinae
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We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.
Kamal, Mahmoud Ahmed (1994)
International Journal of Mathematics and Mathematical Sciences
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Clezio Braga, Flávio Coelho (2008)
Open Mathematics
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We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.
Kamal, M.A., Sayed, A. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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R.Yue Chi Ming (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani (2009)
Czechoslovak Mathematical Journal
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First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication -modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.