Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE TOP LOCAL COHOMOLOGY AND FORMAL LOCAL COHOMOLOGY MODULES

  • Received : 2022.01.02
  • Accepted : 2022.05.04
  • Published : 2023.01.31
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Abstract

Let 𝖆 and 𝖇 be ideals of a commutative Noetherian ring R and M a finitely generated R-module of finite dimension d > 0. In this paper, we obtain some results about the annihilators and attached primes of top local cohomology and top formal local cohomology modules. In particular, we determine Ann(𝖇 Hd𝖆(M)), Att(𝖇 Hd𝖆(M)), Ann(𝖇𝔉d𝖆(M)) and Att(𝖇𝔉d𝖆(M)).

Keywords

Acknowledgement

The authors would like to thank the referee for his/her useful suggestions.

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