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Nil*-COHERENT RINGS

Xiang Yueming|Lunqun Ouyang
대한수학회 (The Korean Mathematical Society)|2014.03|대한수학회보 (Bulletin of the KMS)|제51권 제2호|pp. 579-594

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참고문헌

키워드

Nil∗-coherent ringstrongly Nil∗-coherent ringN-injective moduleN-flat moduleprecover and preenvelope
주제분류수학

초록

Let R be a ring and Nil∗(R) be the prime radical of R. In this paper, we say that a ring R is left Nil∗-coherent if Nil∗(R) is coherent as a left R-module. The concept is introduced as the generalization of left J-coherent rings and semiprime rings. Some properties of Nil∗-coherent rings are also studied in terms of N-injective modules and N-flat modules.

Abstract

Let R be a ring and Nil∗(R) be the prime radical of R. In this paper, we say that a ring R is left Nil∗-coherent if Nil∗(R) is coherent as a left R-module. The concept is introduced as the generalization of left J-coherent rings and semiprime rings. Some properties of Nil∗-coherent rings are also studied in terms of N-injective modules and N-flat modules.

참고문헌 (23)

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