Marcelo Lanzilotta
Rafael Advanced Defense Systems
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Featured researches published by Marcelo Lanzilotta.
Communications in Algebra | 2007
Ibrahim Assem; Marcelo Lanzilotta; Maria Julia Redondo
We prove that if A is an artin algebra, G is a finite group acting on A such that |G| is invertible in A, and R = A[G]b is a basic algebra associated with the skew group algebra, then A is left supported (or right supported, or laura, or left glued, or right glued, or weakly shod, or shod) if and only if so is R.
Communications in Algebra | 2004
Ibrahim Assem; Marcelo Lanzilotta
Abstract We prove that a tame weakly shod algebra A which is not quasi-tilted is simply connected if and only if the orbit graph of its pip-bounded component is a tree, or if and only if its first Hochschild cohomology group H1(A) with coefficients in A A A vanishes. We also show that it is strongly simply connected if and only if the orbit graph of each of its directed components is a tree, or if and only if H1(A) = 0 and it contains no full convex subcategory which is hereditary of type 𝔸˜, or if and only if it is separated and contains no full convex subcategory which is hereditary of type 𝔸˜.
Communications in Algebra | 2010
Marcelo Lanzilotta; Eduardo N. Marcos; Octavio Mendoza; Corina Sáenz
Let A be a finite dimensional k-algebra, (Θ, ≤) be a stratifying system in mod(A) and ℱ(Θ) be the class of Θ-filtered A-modules. In this article, we give the definition and also study some of the properties of the relative socle in ℱ(Θ). We approach the relative socle in three ways. Namely, we view it as (1) a Θ-semisimple subobject of M having the largest Θ-length, (2) a maximal Θ-semisimple subobject of M, and (3) a minimal Θ-essential subobject of M.
Algebras and Representation Theory | 2017
Marcelo Lanzilotta; Octavio Mendoza
We develope the theory of E
Communications in Algebra | 2014
Marcelo Lanzilotta; Octavio Mendoza; Corina Sáenz
{\mathcal {E}}
Algebras and Representation Theory | 2017
María Andrea Gatica; Marcelo Lanzilotta; María Inés Platzeck
-relative Igusa-Todorov functions in an exact IT-context (C,E)
Forum Mathematicum | 2011
Marcelo Lanzilotta; Maria Julia Redondo; Rachel Taillefer
({\mathcal {C}},{\mathcal {E}})
Journal of Algebra | 2008
François Huard; Marcelo Lanzilotta; Octavio Mendoza
(see Definition 2.1). In the case when C=mod(Λ)
Bulletin of The London Mathematical Society | 2009
François Huard; Marcelo Lanzilotta; Octavio Mendoza
{\mathcal {C}}={\text {mod}}\, ({\Lambda })
Algebras and Representation Theory | 2013
Fran ccois Huard; Marcelo Lanzilotta
is the category of finitely generated left Λ-modules, for an artin algebra Λ, and E