Endomorphisms of the Quasi-Injective Hull of a Module
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 149-150

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R is a ring and M is a right R-module for which Rl = {m ∊ M | mR = 0} is the zero submodule. Let and be the injective hull and the quasi-injective hull of M respectively. Then where [1]. The ring plays an important role, in many cases, in the studying of R especially when D is a division ring. For x ∊ M, we denote the annihilator of x in R by x γ = {r ∊ R | xr=0}, whereas x γl ={m ∊ M | mx γ=0}. If N is a submodule of M and x ∊ M, x -1(N) is the right ideal in R consisting of elements r in R where xr ∊ N.
Wong, Edward T. Endomorphisms of the Quasi-Injective Hull of a Module. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 149-150. doi: 10.4153/CMB-1970-034-x
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[1] 1. Johnson, R. E. and Wong, E. T., Quasi-injective modules and irreducible rings, J. London Math. Soc. 36 (1961), 260-268. Google Scholar

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