transfer of the gpit property in pullbacks
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ID: 133727
2012
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Abstract
Let ๐ be a commutative ring, ๐ผ a prime ideal of ๐, ๐ท a subring of ๐/๐ผ, and ๐
the pullback ๐ร๐/๐ผ๐ท. Ascent and descent results are given for the transfer of the ๐-PIT and GPIT (generalized principal ideal theorem) properties between ๐ and ๐
. As a consequence, it follows that if ๐ผ is a maximal ideal of both ๐ and ๐
, then ๐
satisfies ๐-PIT (resp., GPIT) if and only if ๐ satisfies ๐-PIT (resp., GPIT).
| Reference Key |
dobbs2012internationaltransfer
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|
|---|---|
| Authors | ;David E. Dobbs;Jay Shapiro |
| Journal | structural engineering and mechanics |
| Year | 2012 |
| DOI |
10.1155/2012/743873
|
| URL | |
| Keywords |
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