Ka Hin Leung, Shing Hing Man
Abstract
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Abstract In this paper, we show that a commutative Noetherian ring which satisfies the radical formula must be of dimension at most one. From this we give a characterization of commutative Noetherian rings that satisfy the radical formula.
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Abstract In this paper, we show that a commutative Noetherian ring which satisfies the radical formula must be of dimension at most one. From this we give a characterization of commutative Noetherian rings that satisfy the radical formula.
Key concepts: Noetherian, Mathematics, Commutative property, Pure mathematics, Global dimension, Local ring, Radical of a ring, Dimension (graph theory)