We show that \\mathcal{PGF} = \\mathcal{DP} \\mathcal{PGF} = \\mathcal{DP} if and only if every Ding projective module is Gorenstein flat. This is the case if the ring R R is coherent for example. We include an example to show that the coherence is a sufficient, but not a...
Several equivalent formulations for a module M over a commutative ring R to be a multiplication module are established. If M is finitely generated, it must be projective over R/A (where A is the annihilator of M in R) with sme additional properties. In particular, the result of A. G. ...
Pseudo-projectivity and small-pseudo-projectivity is a generalization of projectivity. In this paper, we study the properties of pseudoprojective modules, ... Y Talebi,IK Gorji 被引量: 8发表: 2008年 T_C-Gorenstein Projective,L_C-Gorenstein Injective and H_C-Gorenstein Flat Modules The author...
Also, it is given a condition to verify certain relation between GC -projectives and GC -flats. Indeed, it is shown that every GC -projective module is GC -flat if and only if for every C -injective module I , the character module is in ....
1.About Simple-Projective Modules, Soc-Flat Modules, Soc-Pseudo Modules;关于单投射模、soc-平坦模、soc-伪内射模 2.Ann-Projective Modules, Ann-Injective Modules and Ann-Flat Modules;关于ann-投射模、ann-内射模和ann-平坦模 3.On Quasi-Injective,Quasi-Projective,Quasi-Flat Module and Special Rings...
We consider the tangent bundle over the supersphere and show that the module of vector field over a supersphere is a super projective module over the ring of supersmooth functions. Also, we discuss a class of super projective modules that can be constructed from a projection map on modules ...
A left R-module M (resp., right R-module F) is ... Luling,DuanBaiyu,Ouyang - 《Indian Journal of Pure & Applied Mathematics》 被引量: 19发表: 2011年 Relative FI -injective and FI -flat modules Let R be a ring, n a fixed nonnegative integer and FP n (F n) the class of ...
M is called n-FP-projective if Ext(1) (M, N) = 0 for any right R-module N of FP-injective dimension <= n, where n i... LN Mao - 《Communications in Algebra》 被引量: 0发表: 2005年 ∑–pure—injective modules over a commutative prüfer ring communications in algebraM. Prest ...
2) rad-injective module rad-内射模 1. The injective modules and the flat modules play an important role in many parts of ring and categories of modules,so we introduce the notion of generalized direct-injective modules,rad-injective modules,and rad-flat modules and study theirs properties. ...
Let R be a ring, n a fixed nonnegative integer and F n the class of all left R-modules of flat dimension at most n. A left R-module M is called n-copure projective if Ext 1 R (M,F) = 0 for any F∈ F n . Some examples are given to show that n-copure projective modules...