Geodesic
On Functional Representations of a Ring without Nilpotent Elements
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 349-352

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In [3, p. 149], J. Lambek gives a proof of a theorem, essentially due to Grothendieck and Dieudonne, that if R is a commutative ring with 1 then R is isomorphic to the ring of global sections of a sheaf over the prime ideal space of R where a stalk of the sheaf is of the form R/0P , for each prime ideal P, and . In this note we will show, this type of representation of a noncommutative ring is possible if the ring contains no nonzero nilpotent elements. 
Koh, Kwangil. On Functional Representations of a Ring without Nilpotent Elements. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 349-352. doi: 10.4153/CMB-1971-063-7
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     title = {On {Functional} {Representations} of a {Ring} without {Nilpotent} {Elements}},
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     number = {3},
     doi = {10.4153/CMB-1971-063-7},
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