【摘要】 设R为1个环,M是1个右R-模,S=End(MR),如果对任一0≠s∈S,都存在t∈S,使得ts≠0(st≠0)且ts(M)(st(M))到M的每一同态都可扩张为M的自同态,由称M是右(左)弱拟P-内射的,简称右(左)WQP-内射的,给出了这两类模的一些特征,并研究了满足一些附加条件的这两类模的一些性质.更多还原

【Abstract】 Let R be a ring and M be a right R-module with S=End(MR).Then MR is called right(resp.left) weakly quasi-principally injective(briefly right(resp.left) WQP-injective) if,for any 0≠s∈S,there exists t∈S such that ts≠0(resp.st≠0) and any R-homomorphism from ts(M)(resp.st(M)) to M extends to an endomorphism of M.Some characterizations of the two classes of modules are given,some properties of the two classes of modules with additional conditions are investigated.更多还原