On generalized extending modules.
Kamal, M.A., Sayed, A. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Kamal, M.A., Sayed, A. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Lidia Hügel, Helmut Valenta (1999)
Colloquium Mathematicae
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Over an artinian hereditary ring R, we discuss how the existence of almost split sequences starting at the indecomposable non-injective preprojective right R-modules is related to the existence of almost split sequences ending at the indecomposable non-projective preinjective left R-modules. This answers a question raised by Simson in [27] in connection with pure semisimple rings.
Kalathoor Varadarajan (1992)
Publicacions Matemàtiques
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Let be a class or R-modules containing 0 and closed under isomorphic images. With any such we associate three classes Γ, F and Δ. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.
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.
Alghamdi, Ahmad M., Makki, Makkiah S. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Kamal, M.A., Elmnophy, O.A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Andrzej Skowroński (2003)
Open Mathematics
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Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with co-finite in ind A, quasi-tilted...
Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
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