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ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES

Yıl 2014, Cilt: 16 Sayı: 16, 115 - 126, 01.12.2014
https://doi.org/10.24330/ieja.266231

Öz

A left R-module M is called almost F-injective, if every R-homomorphism
from a finitely presented left ideal to M extends to a homomorphism of R to M. A right
R-module V is said to be almost flat, if for every finitely presented left ideal I, the canonical
map V ⊗ I → V ⊗R is monic. A ring R is called left almost semihereditary, if every finitely
presented left ideal of R is projective. A ring R is said to be left almost regular, if every
finitely presented left ideal of R is a direct summand of RR. We observe some characterizations
and properties of almost F-injective modules and almost flat modules. Using the
concepts of almost F-injectivity and almost flatness of modules, we present some characterizations
of left coherent rings, left almost semihereditary rings, and left almost regular
rings.

Yıl 2014, Cilt: 16 Sayı: 16, 115 - 126, 01.12.2014
https://doi.org/10.24330/ieja.266231

Öz

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Ayrıntılar

Diğer ID JA72NK24HT
Bölüm Makaleler
Yazarlar

Zhu Zhanmin Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 16 Sayı: 16

Kaynak Göster

APA Zhanmin, Z. (2014). ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES. International Electronic Journal of Algebra, 16(16), 115-126. https://doi.org/10.24330/ieja.266231
AMA Zhanmin Z. ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES. IEJA. Aralık 2014;16(16):115-126. doi:10.24330/ieja.266231
Chicago Zhanmin, Zhu. “ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES”. International Electronic Journal of Algebra 16, sy. 16 (Aralık 2014): 115-26. https://doi.org/10.24330/ieja.266231.
EndNote Zhanmin Z (01 Aralık 2014) ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES. International Electronic Journal of Algebra 16 16 115–126.
IEEE Z. Zhanmin, “ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES”, IEJA, c. 16, sy. 16, ss. 115–126, 2014, doi: 10.24330/ieja.266231.
ISNAD Zhanmin, Zhu. “ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES”. International Electronic Journal of Algebra 16/16 (Aralık 2014), 115-126. https://doi.org/10.24330/ieja.266231.
JAMA Zhanmin Z. ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES. IEJA. 2014;16:115–126.
MLA Zhanmin, Zhu. “ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES”. International Electronic Journal of Algebra, c. 16, sy. 16, 2014, ss. 115-26, doi:10.24330/ieja.266231.
Vancouver Zhanmin Z. ALMOST F-INJECTIVE MODULES AND ALMOST FLAT MODULES. IEJA. 2014;16(16):115-26.