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- W3022878630 abstract "This paper establishes the fundamental properties of the $s$-closures, a recently introduced family of closure operations on ideals of rings of positive characteristic. The behavior of the $s$-closure of homogeneous ideals in graded rings is studied, and criteria are given for when the $s$-closure of an ideal can be described exactly in terms of its tight closure and rational powers. Sufficient conditions are established for the weak $s$-closure to equal to the $s$-closure. A generalization of the Briancon-Skoda theorem is given which compares any two different $s$-closures applied to powers of the same ideal." @default.
- W3022878630 created "2020-05-13" @default.
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- W3022878630 date "2020-04-27" @default.
- W3022878630 modified "2023-09-27" @default.
- W3022878630 title "Fundamental Results on $s$-Closures" @default.
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