Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2020; 57(5): 1061-1078

Online first article July 21, 2020      Printed September 1, 2020

https://doi.org/10.4134/JKMS.j180792

Copyright © The Korean Mathematical Society.

Some finiteness results for co-associated primes of generalized local homology modules and applications

Yen Ngoc Do, Tri Minh Nguyen, Nam Tuan Tran

Posts and Telecommunications Institute of Technology; Ton Duc Thang University; Ho Chi Minh University of Pedagogy

Abstract

Go to

We prove some results about the finiteness of co-associated primes of generalized local homology modules inspired by a conjecture of Grothendieck and a question of Huneke. We also show some equivalent properties of minimax local homology modules. By duality, we get some properties of Herzog's generalized local cohomology modules.

Keywords: Linearly compact module, (generalized) local homology, (generalized) local cohomology, (co-)associated prime

MSC numbers: 13D45

Supported by: This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.04-2018.304
The nal work of this paper was done when the authors visited Vietnam Institute for Advanced Study in Mathematics (VIASM). We would like to thank VIASM for hospitality and financial support. We also thank the Domestic PhD Scholarship Programme of Vingroup Innovation Foundation.

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS