Emmanuel Jerez

activity

20232025

collaborators

4 papers

math.KT2025

Homology of Epsilon-Strongly Graded Algebras

Emmanuel Jerez

Let $G$ be a group and $S$ a unital epsilon-strongly $G$ -graded algebra. We construct spectral sequences converging to the Hochschild (co)homology of $S$ . Each spectral sequence is…

math.RA2024

Twisted partial group algebra and related topological partial dynamical system

Mikhailo Dokuchaev, Emmanuel Jerez

Given a group $ G $, a field $ κ$, and a factor set $ σ$ arising from a partial projective $ κ$-representation of $ G $. This leads to the construction of a topological p…

math.RA2023

The twisted partial group algebra and (co)homology of partial crossed products

Mikhailo Dokuchaev, Emmanuel Jerez

Given a group $G$ and a partial factor set $σ$ of $G,$ we introduce the twisted partial group algebra $κ_{p a r}^{σ} G,$ which governs the partial projective $σ$ -representations of $G$ …

math.RA2023

(Co)Homology of Partial Smash Products

Mikhailo Dokuchaev, Emmanuel Jerez

Given a cocommutative Hopf algebra $H$ over a commutative ring $K$ and a symmetric partial action of $H$ on a $K$ -algebra $A,$ we obtain a first quadrant Grothe…