Eduardo N. Marcos

collaborators

4 papers

math.KT2026

Happel's question, Han's conjecture and $I ¨ $ -Hochschild (co)homology

Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1

We introduce the $I ¨ $ -Hochschild (co)homology of a finite dimensional associative algebra $I^$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the globa…

math.AC2025

A relative homology criterion of smoothness

Kostiantyn Iusenko, Eduardo do Nascimento Marcos, Victor do Valle Pretti

We investigate the relationship between smoothness and the relative global dimension of a ring extension. We prove that a smooth commutative algebra $A$ over $B$ has finite relativ…

math.RT2025

Partial actions of groups on quivers and path algebras

Wagner Cortes, Eduardo N. Marcos

In this article, we introduce the concept of partial actions of a group $G$ on quivers and demonstrate that for any given partial action of G on a quiver $I^$ , there exists another…

math.RA2025

On the first $I ¨ $ -tilting Hochschild cohomology of an algebra

Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1

In this paper we introduce, according to one of the main ideas of $I ¨ $ -tilting theory, the $I ¨ $ -Hochschild cohomology in degree one of a finite dimensional $k$ -algebra $I^$ , where…

Happel's question, Han's conjecture and I¨-Hochschild (co)homology

A relative homology criterion of smoothness

Partial actions of groups on quivers and path algebras

On the first I¨-tilting Hochschild cohomology of an algebra

Happel's question, Han's conjecture and $I ¨ $ -Hochschild (co)homology

On the first $I ¨ $ -tilting Hochschild cohomology of an algebra