English

Finiteness of Composed local cohomology modules

Commutative Algebra 2016-08-18 v1

Abstract

Cofiniteness of the generalized local cohomology modules Hai(M, N) of two R-modules M and N with respect to an ideal a is studied for some i,s with a specified property. Furthermore, Artinianness of Hbj 0(Hai(M, N)) is investigated by using the above result, in certain graded situations, where b 0 is an ideal of R 0 such that b 0 + a 0 is an m 0-primary ideal.

Keywords

Cite

@article{arxiv.1608.05013,
  title  = {Finiteness of Composed local cohomology modules},
  author = {Fatemeh Dehghani-Zadeh},
  journal= {arXiv preprint arXiv:1608.05013},
  year   = {2016}
}
R2 v1 2026-06-22T15:22:29.082Z