摘要
设T是形式三角矩阵环,U和V是右T-模.引入f-单相对内射模、N-生成相对内射模和弱单相对内射模的概念,并借助于与Mod-T等价的范畴Ω,研究了形式三角矩阵环T上的f-相对内射模、N-生成相对内射模和弱相对内射模的有关性质.对右T-模U和V,得到U是f-V-内射模、N-生成V-内射模和弱V-内射模的充分条件.
Let T be a formal triangular matrix ring, U and V be right T-modules, we introduced a concept of f-simple relative injectivity, R-generated relative injectivity and weakly simple relative injectivity of modules over T, and studied the f-relative injective, R-generated relative injective and weakly relative injective by means of the category V, some sufficient conditions were obtained V-injective Ω being equivalent to Mod-T. For right T-modules U and for U to be f-V-injective, R-generated V-injective or weaklyKey V-injective.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第4期105-111,117,共8页
Journal of Lanzhou University(Natural Sciences)
基金
Supported by the National Natural Science Foundation of China(10671061)
the Natural Science Foundationof Beijing(1092002)
关键词
三角形式矩阵环
f-相对内射模
N-生成相对内射模
弱相对内射模
formal triangular matrix ring
f-relative injective module
R-generated relative injective module
weakly relative injective module
