On Second Submodules
International Conference on Noncommutative Rings and their Applications, Lens, Fransa, 1 - 04 Temmuz 2013, cilt.634, ss.67-77, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 634
- Doi Numarası: 10.1090/conm/634/12691
- Basıldığı Şehir: Lens
- Basıldığı Ülke: Fransa
- Sayfa Sayıları: ss.67-77
- Anahtar Kelimeler: Second submodule, attached primes of a module, second radical of a module, hollow dimension, max property, DUAL NOTION, MODULES
- Akdeniz Üniversitesi Adresli: Evet
Özet
Let R be a ring with identity and M be a unital right R-module. A nonzero submodule N of M is called a second submodule if N and all its nonzero homomorphic images have the same annihilator in R. The second radical of a module M is defined to be the sum of all second submodules of M. In this paper we give some results concerning second submodules and attached primes of a module and we study the second radical of a module in some cases.