On Functional Representations of a Ring without Nilpotent Elements
1971 ◽
Vol 14
(3)
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pp. 349-352
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Keyword(s):
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.
2019 ◽
Vol 56
(2)
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pp. 252-259
Keyword(s):
2015 ◽
Vol 14
(06)
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pp. 1550079
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Keyword(s):
1998 ◽
Vol 40
(2)
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pp. 223-236
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Keyword(s):
1982 ◽
Vol 32
(2)
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pp. 165-170
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Keyword(s):
2000 ◽
Vol 43
(3)
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pp. 312-319
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Keyword(s):