论文信息 - On a new generalization of coherent rings

On a new generalization of coherent rings

In this paper, we introduce a new generalization of coherent rings. Let m be a positive integer and d a positive integer or d = ∞. A ring R is called a left (m, d)-coherent ring in case every m-presented left R-module N with pd(N) ≤ d is (m + 1)-presented. It is shown that there are many similarities between coherent rings and (m, d)-coherent rings. Some applications are also given.

Nanqing Ding | L. Mao

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