Geodesic
A Lattice Isomorphism Theorem for Nonsingular Retractable Modules
Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 140-144

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DOI

Let RM be a nonsingular module such that B = EndR(M) is left nonsingular and has as its maximal left quotient ring, where is the injective hull of RM. Then it is shown that there is a lattice isomorphism between the lattice C(M) of all complement submodules of RM and the lattice C(B) of all complement left ideals of B, and that RM is a CS module if and only if B is a left CS ring. In particular, this is the case if RM is nonsingular and retractable.
DOI : 10.4153/CMB-1994-020-5
Mots-clés : 16D80, 16S90 
Zhengping, Zhou. A Lattice Isomorphism Theorem for Nonsingular Retractable Modules. Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 140-144. doi: 10.4153/CMB-1994-020-5
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     title = {A {Lattice} {Isomorphism} {Theorem} for {Nonsingular} {Retractable} {Modules}},
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     year = {1994},
     volume = {37},
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     doi = {10.4153/CMB-1994-020-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-020-5/}
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