Towards a homological generalization of the direct summand theorem

We present a more general homological characterization of the direct summand theorem (DST). Specifically, we state two new conjectures: the socle-parameter conjecture (SPC) in its weak and strong forms. We give a proof for the weak form by showing that it is equivalent to the DST. Furthermore, we pr...

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Bibliographic Details
Main Authors: Vélez-Caicedo Juan Diego, Gómez-Ramírez Danny Arlen de Jesús
Format: Article
Language:English
Published: De Gruyter 2020-11-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0087