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arXiv · 2410.05790

Indecomposable Injectives over the Jacobson Algebra

Riccardo Colpi·Francesca Mantese·Alberto Tonolo
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Abstract

Let K be any field. In this paper we give a complete list of the indecomposable left injective module over the Jacobson algebra K , i.e., the free associative K-algebra on two (noncommuting) generators, modulo the single relation XY = 1. This is the natural continuation of the paper of the second two authors with Gene Abrams on the charaterization of the injective envelope of the simple modules over K .

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Riccardo Colpi, Francesca Mantese, Alberto Tonolo. 2024-10-08. Indecomposable Injectives over the Jacobson Algebra. https://arxiv.org/abs/2410.05790

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