Relative FP-gr-injective and gr-flat modules
T Zhao, Z Gao, Z Huang - International Journal of Algebra and …, 2018 - World Scientific
Let n≥ 1 be an integer. We introduce the notions of n-FP-gr-injective and n-gr-flat modules.
Then we investigate the properties of these modules by using the properties of special …
Then we investigate the properties of these modules by using the properties of special …
FP-gr-injective modules
X Yang, Z Liu - Mathematical Journal of Okayama …, 2011 - ousar.lib.okayama-u.ac.jp
In this paper, we give some characterizations of FP-grinjective R-modules and graded right
R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective …
R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective …
On n-coherent rings and (n, d)-injective modules
D Zhang, B Ouyang - Algebra Colloquium, 2015 - World Scientific
Let R be a ring, n, d be fixed non-negative integers, the class of (n, d)-injective left R-
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …
Some results on -injective modules, -flat modules and -coherent rings
Z Zhu - Commentationes Mathematicae Universitatis Carolinae, 2015 - dml.cz
Let $ n, d $ be two non-negative integers. A left $ R $-module $ M $ is called $(n, d) $-
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …
Relative Gorenstein n-weak injective and n-weak flat modules
Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …
Coherent rings and Gorenstein FP-injective modules
Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
On graded second and coprimary modules and graded secondary representations
In this paper we introduce and study the concepts of graded second (gr-second) and graded
coprimary (gr-coprimary) modules which are different from second and coprimary modules …
coprimary (gr-coprimary) modules which are different from second and coprimary modules …
Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
On n-FI-Injective and n-FI-Flat Modules
Z Gao - Communications in Algebra, 2012 - Taylor & Francis
Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …
On strongly Gorenstein FP-injective modules
Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …
called strongly Gorenstein FP-injective modules. Some examples are given to show that …