自然类中内射模直和的基本扩张  

On Essential Extensions of Direct Sums of Injective Modules in Natural Class

作　　者：董珺[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《河西学院学报》2005年第2期13-15,共3页Journal of Hexi University

摘　　要：k是M-自然类,证明在k中,任意M-内射模的直和的基本扩张是M-内射模的直和,并且通过可数多个k-cocritical模,刻划了∞i=⊕1E_M(S_i)的基本扩张是M-内射模的直和.In this paper we show that essentiality of direct sums of any M-injective modules belonging to natural class κ is direct sums of M-injective modules and essentiality of estensions is the direct sums of M- injective modules characterized by a countable k-cocritical modules.

关 键 词：k-自然类 M-内射模 基本扩张 k-cocritical模 

分 类 号：O15[理学—数学]