Geodesic
Isomorphisms of Prime Goldie Semi-Principal Left Ideal Rings, II
Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 374-379

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DOI

A prime Goldie ring K, in which each finitely generated left ideal is principal is the endomorphism ring E(F, A) of a free module A, of finite rank, over an Ore domain F. We determine necessary and sufficient conditions to insure that whenever K ≅ E(F, A) ≅ E(G, B) (with A and B free and finitely generated over domains F and G) then (F, A) is semi-linearly isomorphic to (G, B). We also show, by example, that it is possible for K ≅ E(F, A ) ≅ E(G, B), with F and G, not isomorphic.
DOI : 10.4153/CMB-1988-053-3
Mots-clés : 16A65, 16A04, 16A34 
Isomorphisms of Prime Goldie Semi-Principal Left Ideal Rings, II. Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 374-379. doi: 10.4153/CMB-1988-053-3
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     title = {Isomorphisms of {Prime} {Goldie} {Semi-Principal} {Left} {Ideal} {Rings,} {II}},
     journal = {Canadian mathematical bulletin},
     pages = {374--379},
     year = {1988},
     volume = {31},
     number = {3},
     doi = {10.4153/CMB-1988-053-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-053-3/}
}
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