ACADSTAFF UGM
| Judul/Title | On (strongly) completely integrally closed modules: A scalar point of view |
| Penulis/Author | Dr. Mu'amar Musa Nurwigantara, S.Si. (1) ; Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2); Prof. Dr. Sri Wahyuni, S.U. (3) |
| Tanggal/Date | 2024 |
| Kata Kunci/Keyword | |
| Abstrak/Abstract | A torsion-free module M over an integral domain D is said to be (strongly) completely integrally closed module (abbreviated as (S)CIC) if every integral submodule (non-zero submodule) U of M has D as its order. We introduce a definition of almost-integral and pseudo-integral scalars to study (S)CIC modules from the point of view of their elements and their scalars. It is shown that a D-module is (strongly) CIC iff all of its pseudo-integral (almost-integral) scalars are contained in D. |
| Level | Internasional |
| Status |