强Ding投射复形和强Ding内射复形  

Strong Ding projective and injective complexes

作　　者：张翠萍 郭慧瑛 ZHANG Cui-ping;GUO Hui-ying(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院

出　　处：《西北师范大学学报（自然科学版）》2019年第5期16-20,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11361051)

摘　　要：将强Ding投射(内射)模推广到强Ding投射(内射)复形,证明了强Ding投射(内射)复形G的每个层次是强Ding投射(内射)R-模,且对任意平坦(FP-内射)复形F(J),Hom·(G,F)(Hom·(J,G))正合;Ding投射(内射)复形是强Ding投射(内射)复形的直和项.This paper generalizes strong Ding projective (injective) modules to strong Ding projective(injective) complexes .Further,it is proved that each degree of strong Ding projective(injective) complexes G is strong Ding projective(injective) modules ,and for any flat( FP -injective) complexes F(J), Hom ·(G,F)(Hom ·(F,G)) is exact;A Ding projective(injective) complexes are direct summands of strong Ding projective(injective) complexes.

关 键 词：强Ding投射模 强Ding内射模 强Ding投射复形 强Ding内射复形 

分 类 号：O153.3[理学—数学]