# Some homological properties of ideals with cohomological dimension one

Source: [Some homological properties of ideals with cohomological dimension one](<https://www.sota2.com/research/paper/68fa53d91e209131ce986c08>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:41:20.929Z

Authors: G. Pirmohammadi, K. Ahmadi Amoli, K. Bahmanpour

Published: 2017-05-03T19:46:56.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1705.01594>)

[PDF](<https://arxiv.org/pdf/1705.01594.pdf>)