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Formal local homology

Volume 163 / 2021

Tran Tuan Nam, Do Ngoc Yen, Nguyen Minh Tri Colloquium Mathematicum 163 (2021), 267-284 MSC: 13D45, 13J99. DOI: 10.4064/cm7863-11-2019 Published online: 23 July 2020

Abstract

We introduce a concept of formal local homology modules which is in some sense dual to P. Schenzel’s concept of formal local cohomology modules. The duality theorem and the non-vanishing theorem for formal local homology modules are shown. We also give some conditions for formal local homology modules to be finitely generated or artinian.

Authors

  • Tran Tuan NamDepartment of Mathematics-Informatics
    Ho Chi Minh University of Pedagogy
    Ho Chi Minh City, Vietnam
    and
    Algebra and Geometry Research Group
    Ton Duc Thang University
    Ho Chi Minh City, Vietnam
    e-mail
    e-mail
  • Do Ngoc YenFaculty of Mathematics $\&$ Computer Science
    University of Science, VNU-HCM
    Ho Chi Minh City, Vietnam
    and
    Faculty of Fundamental Science 2
    Posts and Telecommunications
    Institute of Technology
    Ho Chi Minh City, Vietnam
    e-mail
  • Nguyen Minh TriAlgebra and Geometry Research Group
    Ton Duc Thang University
    Ho Chi Minh City, Vietnam
    and
    Faculty of Mathematics and Statistics
    Ton Duc Thang University
    Ho Chi Minh City, Vietnam
    e-mail

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