Geodesic
On PP-Endomorphism Rings
Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 227-230

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DOI

A characterization is given of when all kernels (respectively images) of endomorphisms of a module are direct summands, a necessary condition being that the endomorphism ring itself is a left (respectively right) PP-ring. This result generalizes theorems of Small, Lenzing and Colby-Rutter and shows that R is left hereditary if and only if the endomorphism ring of every injective left module is a right PP-ring.
DOI : 10.4153/CMB-1993-032-0
Mots-clés : 16A65 
Nicholson, W. K. On PP-Endomorphism Rings. Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 227-230. doi: 10.4153/CMB-1993-032-0
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     title = {On {PP-Endomorphism} {Rings}},
     journal = {Canadian mathematical bulletin},
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     year = {1993},
     volume = {36},
     number = {2},
     doi = {10.4153/CMB-1993-032-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-032-0/}
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