Fahimeh Rastgoo, Alireza Nazari
Abstract
Let (R,š¯”Ŗ) be a Noetherian local ring. In this paper, we give a new characterization for the universal catenaricity of R and the Cohenā€“Macaulayness of all its formal fibers, and we study the cofiniteness and annihilators of local cohomology modules.
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Let (R,š¯”Ŗ) be a Noetherian local ring. In this paper, we give a new characterization for the universal catenaricity of R and the Cohenā€“Macaulayness of all its formal fibers, and we study the cofiniteness and annihilators of local cohomology modules.
Key concepts: Local cohomology, Mathematics, Pure mathematics, Noetherian, Characterization (materials science), Local ring, Noetherian ring, Ring (chemistry)