ON THE NOETHERIAN DIMENSION OF ARTINIAN GENERALIZED LOCAL COHOMOLOGY MODULES

Van Hoang Nguyen

Abstract


In this note, we first prove some bounds for Noetherian dimension of Artinian generalized local cohomology modules HI j(M, N) in the cases of small levels. Secondly, in the cases of top generalized local cohomology modules, some bounds of Noetherian dimension for such modules are given.

Keywords


Noetherian dimension, generalized local cohomology, Artinian.

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