On S (N)-locally prime submodules and the dualization
Penulis/Author
Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (1); Prof. Dr. Sri Wahyuni, S.U. (2)
Tanggal/Date
2016
Kata Kunci/Keyword
Abstrak/Abstract
The primeness of submodules in a module M could be identified by using the fraction of module. On his paper, Jabbar defined an S(N)-locally prime submodule by applying this idea. In this work, we conduct some further properties and a weaker condition of S(N)-locally prime submodules. It is already well known that the dual of prime submodules is second submodules. Hence we also introduce a possibility to dualize the notion of S(N)-locally prime submodules into S(0)-locally second submodules. We investigate the characterizations of locally S(0)-second submodules and give some conditions of rings such that all modules over it will have S(0)-locally second submodules.
Rumpun Ilmu
Matematika
Level
Internasional
Status
Dokumen Karya
No
Judul
Tipe Dokumen
Aksi
1
23_ Prosiding AIP_On S(N)-locally Prime Submodules.pdf
