A COMPUTATION OF PRERADICALS
Keywords:
groups, preradicals, representation typeDOI:
https://doi.org/10.17654/10.17654/0972555525040Abstract
A computation of preradicals is provided in order to show that an assignment of preradicals is not injective. Also, a relation between wildness and preradicals is obtained.
Received: August 11, 2025
Accepted: October 1, 2025
References
[1] K. Bongartz, Representation embeddings and the second Brauer-Thrall conjecture, 2023. v5.arXiv.
[2] S. Brenner, Decomposition properties of some small diagrams of modules, Symposia Mathematica, Vol. XIII (Convegno di Gruppi Abeliani, INDAM, Rome, 1972), pp. 127-141, Academic Press, London, 1974.
[3] J. Chiempén, E. Pérez and P. Sánchez, Un poco acerca de bimódulos, salvajismo y prerradicales, Abstraction & Application 51 (2025), 109-123.
[4] R. Fernández-Alonso, S. Gavito and E. Pérez, On the connection between the representation type of an algebra and its lattice of preradicals, Communications in Algebra 46(1) (2018), 176-190.
[5] R. Fernández-Alonso and J. Magaña, Galois connections between lattices of preradicals induced by adjoint pairs between categories of modules, Appl. Cat. Structures 24(3) (2016), 241-268.
[6] R. Fernández-Alonso and J. Magaña, Galois connections between lattices of preradicals induced by ring epimorphisms, J. Alg. Appl. 19(3) (2020), 17.
[7] R. Fernández-Alonso, B. Mercado and S. Gavito, Preradicals over some group algebras, Algebras and Representation Theory 27 (2024), 1221-1235.
[8] J. A. de la Peña, Representations of Algebras, Tame and Wild Behavior, Algebra and Applications 30, Springer, 2020.
[9] L. Francisco, G. Raggi and L. Salmerón, Rudimentos de mansedumbre y salvajismo en Teoría de Representaciones, Sociedad Matemática Mexicana, 1995.
[10] P. Webb, A Course in Finite Group Representation Theory, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2016.
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