摘要
称环R是左e-凝聚环,如果R的任意有限生成本质左理想是有限表示的.用e-内射模和e-平坦模刻画了e-凝聚环,推广了凝聚环的若干经典结论.
A ring R is called left e-coherent in case each finitely generated essential left ideal of R is finitely presented.Some equivalent characterizations of e-coherent rings are given using e-injective and e-flat modules,some classical results of coherent rings are generalized.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2011年第2期19-21,共3页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10901129)
关键词
e-凝聚环
e-内射模
e-平坦模
示性模
e-coherent ring
e-injective module
e-flat module
character module
