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

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

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-05-22
DOI
https://doi.org/10.1142/s0219498827502422
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

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

José A. Vélez-Marulanda, Jhony F. Caranguay-Mainguez, Pedro Rizzo
Journal of Algebra and Its Applications
Algebraic structures and combinatorial models
article

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

José A. Vélez-Marulanda, Jhony F. Caranguay-Mainguez, Pedro Rizzo
article en

Abstract

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

Journal of Algebra and Its Applications
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Algebraic structures and combinatorial models
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