تقرير
Phi Classical 1-Absorbing Prime Submodule
| العنوان: | Phi Classical 1-Absorbing Prime Submodule |
|---|---|
| المؤلفون: | Uçar, Zeynep Yılmaz, Ersoy, Bayram Ali, Tekir, Ünsal, Çelikel, Ece Yetkin, Onar, Serkan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 13A15, 13C05, 13C60 |
| الوصف: | In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule N of M is a phi classical 1-absorbing prime submodule if whenever non units a, b, c belongs to R and m belongs to M with abcm belongs to N and does not belong to phi(N), then abm belongs to N or cm belongs to N. Many properties and characterizations of phi classical 1-absorbing prime submodules are given. Comment: 18 pages. arXiv admin note: substantial text overlap with arXiv:2403.19659, arXiv:1507.08981, arXiv:1505.06730; text overlap with arXiv:2405.05971 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.16332 |
| رقم الأكسشن: | edsarx.2405.16332 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |