Work

Indecomposable injectives over the Jacobson algebra

Year: 2024

Type: article

Abstract: Let [Formula: see text] be any field. In this paper, we give a complete list of the indecomposable left injective module over the Jacobson algebra [Formula: see text], i.e. the free associative [Formula: see text]-algebra on two (non-commuting) generators, modulo the single relation [Formula: see text]. This is the natural continuation of the paper of the second two authors with Gene Abrams on the characterization of the injective envelope of the simple modules over [Formula: see text].

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826500660

Authors: Riccardo Colpi, Francesca Mantese, Alberto Tonolo

Institutions: University of Padua, University of Verona

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Award: G5245466801