BibTex RIS Kaynak Göster

MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES

Yıl 2016, , 35 - 48, 01.06.2016
https://doi.org/10.24330/ieja.266191

Öz

Let R be a ring and R(M) be the lattice of radical submodules
of an R-module M. Although the mapping ρ : R(R) → R(M) defined by
ρ(I) = rad(IM) is a lattice homomorphism, the mapping σ : R(M) → R(R)
defined by σ(N) = (N : M) is not necessarily so. In this paper, we examine
the properties of σ, in particular considering when it is a homomorphism. We
prove that a finitely generated R-module M is a multiplication module if and
only if σ is a homomorphism. In particular, a finitely generated module M
over a domain R is a faithful multiplication module if and only if σ is an
isomorphism.

Yıl 2016, , 35 - 48, 01.06.2016
https://doi.org/10.24330/ieja.266191

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Diğer ID JA23FF48MF
Bölüm Makaleler
Yazarlar

Hosein Fazaeli Moghimi Bu kişi benim

Javad Bagheri Harehdashti Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Moghimi, H. F., & Harehdashti, J. B. (2016). MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES. International Electronic Journal of Algebra, 19(19), 35-48. https://doi.org/10.24330/ieja.266191
AMA Moghimi HF, Harehdashti JB. MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES. IEJA. Haziran 2016;19(19):35-48. doi:10.24330/ieja.266191
Chicago Moghimi, Hosein Fazaeli, ve Javad Bagheri Harehdashti. “MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES”. International Electronic Journal of Algebra 19, sy. 19 (Haziran 2016): 35-48. https://doi.org/10.24330/ieja.266191.
EndNote Moghimi HF, Harehdashti JB (01 Haziran 2016) MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES. International Electronic Journal of Algebra 19 19 35–48.
IEEE H. F. Moghimi ve J. B. Harehdashti, “MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES”, IEJA, c. 19, sy. 19, ss. 35–48, 2016, doi: 10.24330/ieja.266191.
ISNAD Moghimi, Hosein Fazaeli - Harehdashti, Javad Bagheri. “MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES”. International Electronic Journal of Algebra 19/19 (Haziran 2016), 35-48. https://doi.org/10.24330/ieja.266191.
JAMA Moghimi HF, Harehdashti JB. MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES. IEJA. 2016;19:35–48.
MLA Moghimi, Hosein Fazaeli ve Javad Bagheri Harehdashti. “MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES”. International Electronic Journal of Algebra, c. 19, sy. 19, 2016, ss. 35-48, doi:10.24330/ieja.266191.
Vancouver Moghimi HF, Harehdashti JB. MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES. IEJA. 2016;19(19):35-48.