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Martine Picavet-L'Hermitte

Researcher at Blaise Pascal University

Publications -  33
Citations -  263

Martine Picavet-L'Hermitte is an academic researcher from Blaise Pascal University. The author has contributed to research in topics: Ring (mathematics) & Commutative ring. The author has an hindex of 8, co-authored 33 publications receiving 224 citations.

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On the FIP Property for Extensions of Commutative Rings

TL;DR: In this article, a (unital) extension R⊆T of (commutative) rings is said to have FIP if there are only finitely many (respectively no) rings S such that R ⊆S⊂T of S ⊂ T of ⌈⌉⌈ ⌉ ⌂ T such that
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Transfer Results for the FIP and FCP Properties of Ring Extensions

TL;DR: In this article, the transfer of FCP and FIP properties between E and F is studied for an extension E: R ⊂ S of (commutative) rings and the induced extension F: R(X)⊂ ǫ s of Nagata rings.
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Some more combinatorics results on Nagata extensions

TL;DR: In this paper, it was shown that the length of ring extensions is preserved under the formation of Nagata extensions as well as Dobbs-Mullins invariant, and a new condition for the FIP property was established by using arithmetic extensions of rings.
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