Some Results for Generalized Local Homology Modules

Authors

  • Carlos Henrique Tognon DMAT, Universidade Federal do Triángulo Mineiro, Instituto de Ciencias Tecnológicas e Exatas - ICTE, Uberaba, MG, Brazil.

DOI:

https://doi.org/10.17268/sel.mat.2025.02.15

Keywords:

Local cohomology modules, linearly compact module, (generalized) local homology, (co-) associated prime

Abstract

We prove some results on the finiteness of co-associated primes of generalized local homology modules inspired by the conjecture of Grothendieck and the question of Huneke. We also show equivalent properties of minimax local homology modules. Here, we get applications for the generalized local homology module, in a general theory of modules.

References

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Published

2025-12-27

How to Cite

Tognon, C. H. (2025). Some Results for Generalized Local Homology Modules. Selecciones Matemáticas, 12(02), 469 - 474. https://doi.org/10.17268/sel.mat.2025.02.15

Issue

Vol. 12 No. 02 (2025): August - December

Section

Communications

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