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ON COMPLETELY PRIME SUBMODULES

Yıl 2016, , 77 - 90, 01.06.2016
https://doi.org/10.24330/ieja.266194

Öz

The formal study of completely prime modules was initiated by
N. J. Groenewald and the current author in the paper: Completely prime
submodules, Int. Electron. J. Algebra, 13(2013), 1–14. In this paper, the study
of completely prime modules is continued. Firstly, the advantage completely
prime modules have over prime modules is highlighted and different situations
that lead to completely prime modules given. Later, emphasis is put on fully
completely prime modules (i.e., modules whose all submodules are completely
prime). For a fully completely prime left R-module M, if a, b ∈ R and m ∈ M,
then abm = bam, am = a km for all positive integers k, and either am = abm
or bm = abm. In the last section, two different torsion theories induced by the
completely prime radical are given.

Yıl 2016, , 77 - 90, 01.06.2016
https://doi.org/10.24330/ieja.266194

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Diğer ID JA35CM23JB
Bölüm Makaleler
Yazarlar

David Ssevviiri Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Ssevviiri, D. (2016). ON COMPLETELY PRIME SUBMODULES. International Electronic Journal of Algebra, 19(19), 77-90. https://doi.org/10.24330/ieja.266194
AMA Ssevviiri D. ON COMPLETELY PRIME SUBMODULES. IEJA. Haziran 2016;19(19):77-90. doi:10.24330/ieja.266194
Chicago Ssevviiri, David. “ON COMPLETELY PRIME SUBMODULES”. International Electronic Journal of Algebra 19, sy. 19 (Haziran 2016): 77-90. https://doi.org/10.24330/ieja.266194.
EndNote Ssevviiri D (01 Haziran 2016) ON COMPLETELY PRIME SUBMODULES. International Electronic Journal of Algebra 19 19 77–90.
IEEE D. Ssevviiri, “ON COMPLETELY PRIME SUBMODULES”, IEJA, c. 19, sy. 19, ss. 77–90, 2016, doi: 10.24330/ieja.266194.
ISNAD Ssevviiri, David. “ON COMPLETELY PRIME SUBMODULES”. International Electronic Journal of Algebra 19/19 (Haziran 2016), 77-90. https://doi.org/10.24330/ieja.266194.
JAMA Ssevviiri D. ON COMPLETELY PRIME SUBMODULES. IEJA. 2016;19:77–90.
MLA Ssevviiri, David. “ON COMPLETELY PRIME SUBMODULES”. International Electronic Journal of Algebra, c. 19, sy. 19, 2016, ss. 77-90, doi:10.24330/ieja.266194.
Vancouver Ssevviiri D. ON COMPLETELY PRIME SUBMODULES. IEJA. 2016;19(19):77-90.