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