Note on Subdirect Sums of Rings
- 1 February 1951
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 2, 49-53
- https://doi.org/10.1017/s0027763000010035
Abstract
In my previous paper “On the theory of semi-local rings,” we saw that if a semi-local ring R with maximal ideals p1…,ph is a subdirect sum of local rings Rm,2) then R is the direct sum of R[p1] (proposition 15, (slr)1)) and that a complete semi-local ring is a direct sum of complete local rings (Remark to proposition 5, (slr)).Keywords
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