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math.RT2011
Algebras Determined by Their Supports
Ibrahim Assem, Diane Castonguay, Marcelo Lanzilotta +1
In this paper, we introduce and study a class of algebras which we call ada algebras. An artin algebra is ada if every indecomposable projective and every indecomposable injective…
math.RT2011★ 1 cited
Self-injective right artinian rings and Igusa Todorov functions
François Huard, Marcelo Lanzilotta
We show that a right artinian ring is right self-injective if and only if (or equivalently ) for all finitely generated right -modules , where $ψ, ϕ: \mo…
math.RT2011
Layer lengths, torsion theories and the finitistic dimension
François Huard, Marcelo Lanzilotta, Octavio Mendoza
Let be an artinian ring. Generalizing the Loewy length, we propose the layer length associated with a torsion theory, which is a new measure for finitely generated -modules.