A+ CATEGORY SCIENTIFIC UNIT

Some homological properties of ideals with cohomological dimension one

Volume 149 / 2017

Gholamreza Pirmohammadi, Khadijeh Ahmadi Amoli, Kamal Bahmanpour Colloquium Mathematicum 149 (2017), 225-238 MSC: Primary 13D45; Secondary 14B15, 13E05. DOI: 10.4064/cm6939-11-2016 Published online: 8 June 2017

Abstract

Let $R$ denote a commutative Noetherian ring and let $I$ be an ideal of $R$ such that $H^i_I(R)=0$ for all $i\geq 2$. We prove some results concerning the homological properties of $I$.

Authors

  • Gholamreza PirmohammadiPayame Noor University
    19395-3697 Tehran, Iran
    e-mail
  • Khadijeh Ahmadi AmoliPayame Noor University
    19395-3697 Tehran, Iran
    e-mail
  • Kamal BahmanpourFaculty of Sciences
    Department of Mathematics
    University of Mohaghegh Ardabili
    56199-11367 Ardabil, Iran
    and
    School of Mathematics
    Institute for Research in Fundamental Sciences (IPM)
    19395-5746 Tehran, Iran
    e-mail

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