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Dive into the research topics where Marcelo Lanzilotta is active.

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Featured researches published by Marcelo Lanzilotta.


Communications in Algebra | 2007

Laura Skew Group Algebras

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

The Simple Connectedness of a Tame Weakly Shod Algebra

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

On the Relative Socle for Stratifying Systems

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

Relative Igusa-Todorov Functions and Relative Homological Dimensions

Marcelo Lanzilotta; Octavio Mendoza

We develope the theory of E


Communications in Algebra | 2014

Split-By-Nilpotent Extensions Algebras and Stratifying Systems

Marcelo Lanzilotta; Octavio Mendoza; Corina Sáenz

{\mathcal {E}}


Algebras and Representation Theory | 2017

Idempotent Ideals and the Igusa-Todorov Functions

María Andrea Gatica; Marcelo Lanzilotta; María Inés Platzeck

-relative Igusa-Todorov functions in an exact IT-context (C,E)


Forum Mathematicum | 2011

Combinatorial classification of piecewise hereditary algebras

Marcelo Lanzilotta; Maria Julia Redondo; Rachel Taillefer

({\mathcal {C}},{\mathcal {E}})


Journal of Algebra | 2008

An approach to the finitistic dimension conjecture

François Huard; Marcelo Lanzilotta; Octavio Mendoza

(see Definition 2.1). In the case when C=mod(Λ)


Bulletin of The London Mathematical Society | 2009

Finitistic dimension through infinite projective dimension

François Huard; Marcelo Lanzilotta; Octavio Mendoza

{\mathcal {C}}={\text {mod}}\, ({\Lambda })


Algebras and Representation Theory | 2013

Self-injective Right Artinian Rings and Igusa Todorov Functions

Fran ccois Huard; Marcelo Lanzilotta

is the category of finitely generated left Λ-modules, for an artin algebra Λ, and E

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Dive into the Marcelo Lanzilotta's collaboration.

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Octavio Mendoza

National Autonomous University of Mexico

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Ibrahim Assem

Université de Sherbrooke

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Corina Sáenz

National Autonomous University of Mexico

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Octavio Mendoza Hernández

National Autonomous University of Mexico

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Diane Castonguay

Universidade Federal de Goiás

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Maria Julia Redondo

Universidad Nacional del Sur

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Sônia Maria Fernandes

Universidade Federal de Viçosa

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