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Riccardo Colpi, Kent R. Fuller, Enrico Gregorio (2006)
Colloquium Mathematicae
Based on the work of D. Happel, I. Reiten and S. Smalø on quasitilted artin algebras, the first two authors recently introduced the notion of quasitilted rings. Various authors have presented examples of quasitilted artin algebras that are not tilted. Here we present a class of right quasitilted rings that not right tilted, and we show that they satisfy a condition that would force a quasitilted artin algebra to be tilted.
M. Bullejos (1996)
Extracta Mathematicae
Andrzej Skowroński, Adam Skowyrski (2014)
Colloquium Mathematicae
We provide a characterization of artin algebras without chains of nonzero homomorphisms between indecomposable finitely generated modules starting with an injective module and ending with a projective module.
Clezio Braga, Flávio Coelho (2008)
Open Mathematics
We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.
Francisco Gómez (1992)
Publicacions Matemàtiques
This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold.
Fidel Hernández Advíncula, Eduardo do Nascimento Marcos (2007)
Colloquium Mathematicae
The aim of this work is to characterize the algebras which are standardly stratified with respect to any order of the simple modules. We show that such algebras are exactly the algebras with all idempotent ideals projective. We also deduce as a corollary a characterization of hereditary algebras, originally due to Dlab and Ringel.
Alfredo R. Grandjean, Maria J. Vale (1991)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Simion Breaz (2003)
Czechoslovak Mathematical Journal
We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of -static modules is closed under the kernels.
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