On nil-Flat Modules, nil-Injective and nil-Flat Dimensions

摘要：

This paper give the definition of N-coherent rings, and study the rings by nil-injective modules and nilflat modules. For an N-coherent ring R, we show that every nil-flat right R-modnle is flat every nilinjective left R-module is FP-injective every nilinjective pure injective left R-module is injective. Nil-injective dimension and nil-flat dimension are also studied. We show l.nil -id(R)<n Exti ( R/Ra, M) = 0 Cor every i>n and every a∈ N(R). and every left R—module M Extn+1 (R/Ra,M) = 0 fur every a∈N(R) and every Rmodule M pd(R/Ra) < n tor any a ∈ N(R).

作者: Zhao Yu-e

作者单位: College of Mathematics of Qingdao University, Qingdao, 266071, China

会议类型: 国际会议

会议名称: 2011 Fourth International Conference on Intelligent Computation Technology and Automation(2011年第四届智能计算技术与自动化国际会议 ICICTA 2011)

会议地点: 深圳

会议语种:英文

页码: 1130-1133

在线出版日期: 2011-03-28（万方平台首次上网日期，不代表论文的发表时间）