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. ...
Then Omega is a G-set under conjugation. Let k be an algebraically closed field of characteristic 2. It is shown that each projective indecomposable summand of the G-permutation module kOmega is irreducible and self-dual, whence it belongs to a real 2-block of defect zero. This, together...
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 ....
The answer to the question as to over which rings each module has a flat envelope, is not known, but some results on this question have been obtained since 1981. This paper studies this question as well, and though a full answer is not found, the authors prove a characterization of rings...
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...
A right R-module N is called GP-flat if for any a ∈ R, there exists a positive integer n (depending on a) such that the sequence 0 →N× Ra~n→N×R i s ex... L Mao - 《Hacettepe Journal of Mathematics & Statistics》
6) n-P-injective module n-P-内射模 1. We introduce,in thesis,the notion of the n-P-injective modules,the n-flat modules,and the n-Pm-injective modules,and study theirs properties. 本文是对环与模范畴中重要的模类即内射模与平坦模的延拓,引入了n-P-内射模、n-平坦模与n-Pm-内射模的...
Projective Injective Flat Module OkitaX 关注 专栏/Projective Injective Flat Module Projective Injective Flat Module 2024年08月03日 15:261337浏览· 1点赞· 0评论 OkitaX 粉丝:479文章:29 关注投射模 内射模 平坦模 以及例子本文禁止转载或摘编
That is, Ext(F,ZnI) = 0 for any such complex I and flat module F. On the other hand, over any coherent ring, the cycles of any exact complex P with projective components must satisfy Ext(ZnP,A) = 0 for any absolutely pure module A....