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- W3137366475 abstract "We prove that deformation of F-injectivity holds for local rings $(R,mathfrak {m})$ that admit secondary representations of ${H}_{mathfrak {m}}^{i}(R)$ which are stable under the natural Frobenius action. As a consequence, F-injectivity deforms when $(R,mathfrak {m})$ is sequentially Cohen–Macaulay (or more generally when all the local cohomology modules ${H}_{mathfrak {m}}^{i}(R)$ have no embedded attached primes). We obtain some additional cases if $R/mathfrak {m}$ is perfect or if R is $mathbb {N}$ -graded." @default.
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- W3137366475 date "2021-03-20" @default.
- W3137366475 modified "2023-10-06" @default.
- W3137366475 title "F-Stable Secondary Representations and Deformation of F-Injectivity" @default.
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- W3137366475 doi "https://doi.org/10.1007/s40306-021-00415-4" @default.
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