Perfect closures of rings and schemes

Marvin J. Greenberg

Type: Article

Publication Date: 1965-04-01

Citations: 21

DOI: https://doi.org/10.1090/s0002-9939-1965-0190169-8

Abstract

PERFECT CLOSURES OF RINGS AND SCHEMES 313and the desired result would follow if any one of these were less than or equal to Per(X).Actually one can show, for » = 3, that 3 Per(X) à Per(X0 + Per(X2) + Per(X8), but the method offers no hope of generalization.Even the analogue of the theorem for two arbitrary rows has interesting applications to infinite products and series which seem to be true in the cases tried, but no proof is in sight.

Locations

Proceedings of the American Mathematical Society - View - PDF

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