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Browsing Matemáticas by Author "Mendoza, O"

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Browsing Matemáticas by Author "Mendoza, O"

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  • Applications of stratifying systems to the finitistic dimension
    Marcosa, ED; Mendoza, O; Saenz, C (2006)
    Given an Ext-injective stratifying system of A-modules (theta, (Y) over bar, less than or similar to) satisfying that the projective dimension of Y is finite, we prove that the finitistic dimension of the algebra A is equal ...
  • HOMOLOGICAL SYSTEMS IN MODULE CATEGORIES OVER PRE-ORDERED SETS
    Mendoza, O; Saenz, C; Xi, CC (2009)
    We introduce the so-called homological systems in a module category over a pre-ordered set, which generalize the notion of a stratifying system over a linearly ordered set, and study both the corresponding modules filtrated ...
  • On the Relative Socle for Stratifying Systems
    Lanzilotta, M; Marcos, E; Mendoza, O; Saenz, C (2010)
    Let A be a finite dimensional k-algebra, (, ) be a stratifying system in mod(A) and F() be the class of -filtered A-modules. In this article, we give the definition and also study some of the properties of the relative ...
  • Quadratic forms associated to stratifying systems
    Marcos, EDN; Mendoza, O; Saenz, C; Zuazua Vega, Rita Esther (2006)
    Let R be an algebra, and let (theta, <=) be a stratifying system of R-modules. If the category) F(theta) is theta-directing, then we prove that ind F(theta) is finite. In order to do that, we introduce a quadratic form ...
  • Stratifying systems via relative projective modules
    Marcos, ED; Mendoza, O; Saenz, C (2005)
    In this paper we point out that the "Process of standardization", given in Dlab and Ringel (1992), and also the "Comparison method" given in Platzeck and Reiten (2001) can be generalized. To do so, live introduce the concept ...
  • Stratifying systems via relative simple modules
    Marcos, ED; Mendoza, O; Saenz, C (2004)
    In this paper we continue the study of stratifying systems, which were introduced by K. Erdmann and C. Saenz in [Comm. Algebra 31 (7) (2003) 3429-3446]. We show that this new concept provides a categorical generalization ...
  • Tilting categories with applications to stratifying systems
    Mendoza, O; Saenz, C (2006)
    In the study of standardly stratified algebras and stratifying systems. we find an object which is either a tilting module or one whose properties strongly remind us of a tilting module. This tilting module appeared already ...

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