Gholamreza Pirmohammadi, Khadijeh Ahmadi Amoli, Kamal Bahmanpour
Abstract
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Let R denote a commutative Noetherian ring and let I be an ideal of R such that H_i^I(R) = 0, for all integers i greater than or equal to 2. In this paper we shall prove some results concerning the homological properties of I.
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Let R denote a commutative Noetherian ring and let I be an ideal of R such that H_i^I(R) = 0, for all integers i greater than or equal to 2. In this paper we shall prove some results concerning the homological properties of I.
Key concepts: Mathematics, Noetherian ring, Cohomological dimension, Global dimension, Commutative property, Pure mathematics, Noetherian, Ideal (ethics)