Title | : | Krull modules and completely integrally closed modules |
Author | : |
MU'AMAR MUSA NURWIGANTARA (1) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2) Hidetoshi Marubayashi (3) Prof. Dr. Sri Wahyuni, S.U. (4) |
Date | : | 0 2022 |
Keyword | : | Krull module,completely integrally closed modules,polynomial module. Krull module,completely integrally closed modules,polynomial module. |
Abstract | : | Let M be a torsion-free module over an integral domain D with quotient field K. We define a concept of completely integrally closed modules in order to study Krull modules. It is shown that a Krull module M is a v-multiplication module if and only if (pM)_v is a maximal v-submodule and (p^{−1}p)v_1 = D for every minimal prime ideal p of D. If M is a finitely generated Krull module, then M_1 = ∩M_p is a Krull module and v-multiplication module. It is also shown that the following three conditions are equivalent: M is completely integrally closed, M[x] is completely integrally closed, and M[[x]] is completely integrally closed |
Group of Knowledge | : | Matematika |
Original Language | : | English |
Level | : | Internasional |
Status | : |
Published
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S021949882350038X.pdf
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Krull modules and completely integrally closed modules.pdf
Document Type : [PAK] Cek Similarity
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Dokumen Lengkap-KRULL (2).pdf
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WoS-Krull modules and completely integrally closed modules-Web of Science Core Collection.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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ScimagoJournal of Algebra and its Applications.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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Scopus - Document details - Krull modules and completely integrally closed modules _ Signed in.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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Krull modules and completely integrally closed modules.pdf
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