Numerical characterizations for integral dependence of graded modules
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917493869641728 |
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| author | Das, Suprajo Roy, Sudeshna Trivedi, Vijaylaxmi |
| author_facet | Das, Suprajo Roy, Sudeshna Trivedi, Vijaylaxmi |
| contents | In this paper we construct {\em adic}, {\em saturated} and $\varepsilon$-density functions for a torsion-free module in a graded setup. Then we give some simple criteria for checking the integral dependence of two graded modules $N\subseteq M$ in terms of various well-studied invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14203 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Numerical characterizations for integral dependence of graded modules Das, Suprajo Roy, Sudeshna Trivedi, Vijaylaxmi Commutative Algebra Algebraic Geometry Primary 13H15, 14C17, Secondary 14C20, 13D40 In this paper we construct {\em adic}, {\em saturated} and $\varepsilon$-density functions for a torsion-free module in a graded setup. Then we give some simple criteria for checking the integral dependence of two graded modules $N\subseteq M$ in terms of various well-studied invariants. |
| title | Numerical characterizations for integral dependence of graded modules |
| topic | Commutative Algebra Algebraic Geometry Primary 13H15, 14C17, Secondary 14C20, 13D40 |
| url | https://arxiv.org/abs/2605.14203 |