Karya
Judul/Title Krull modules and completely integrally closed modules
Penulis/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)
Tanggal/Date 2022
Kata Kunci/Keyword
Abstrak/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
Rumpun Ilmu Matematika
Bahasa Asli/Original Language English
Level Internasional
Status
Dokumen Karya
No Judul Tipe Dokumen Aksi
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