Randomized trial demonstrates local-global principles for finiteness of cohomology modules in a Noetherian ring, suggesting broader applications in algebra.
Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local cohomology module H_φ^i (M, N) , in certain cases.
No takes yet. Share an insight, caveat, or question.
Dehghani-Zadeh et al. (2023) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: