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On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type

Year: 2026

Type: article

Abstract: Let [Formula: see text] be an algebraically closed field. Recently, K. Erdmann classified the symmetric [Formula: see text]-algebras [Formula: see text] of finite representation type such that every non-projective module [Formula: see text] has period dividing four. The goal of this paper is to determine the indecomposable modules [Formula: see text] over these classes of algebras [Formula: see text] whose stable endomorphism ring is isomorphic to [Formula: see text], and then calculate their corresponding universal deformation rings (in the sense of F. M. Bleher and the third author).

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827502422

Authors: Jhony F. Caranguay-Mainguez, Pedro Rizzo, José A. Vélez-Marulanda

Institutions: Universidad de Antioquia, Valdosta State University, Fundación Universitaria Konrad Lorenz

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7162099576

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