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 分享到: 投诉或建议 《鬼灭之刃柱训练篇》高燃完结! 评论0 最热 最新 请先登录后发表评论 (・ω・) 发布1 0 0 ...
We prove that all Gorenstein projective modules are Gorenstein flat if and only each Gorenstein projective module has finite Gorenstein flat dimension. As applications, some characterizations of strongly CM-free rings are established and an affirmative answer to a question posed by Wang [Colloq. Math...
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 ....
In particular, we investigate the rings over which every RD-projective right module is a direct sum of cyclically presented right modules (Proposition 2.1, Theorem 4.7, Theorem 5.11, Corollary 5.12). Occasionally, we focus on the case of finitely generated modules (Theorem 2.3). Our study leads...
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...
An R-module M is said to be Gorenstein projective (G-projective for short) if there exists an exact sequence of projective modules P =· ··→P 1 →P 0 →P 0 →P 1 →··· such that M ∼ =Im(P 0 →P 0 ) and such that Hom ...
Let P~ P (~)(n) and N0 (~) (n) be complete subcategories of the category of right ~modules mod 锟 9 whose objects are respectively projective modules p0, p, and flat modules E ~ where the modules p0, p, and ~0 are generated by no more than n elements and the module ~0 is ...
Theorem. A module is Gorenstein projective (resp., injective) if, and only if, it is a direct summand of a strongly Gorenstein projective (resp., injective) module. Every flat module is a direct summand of a strongly Gorenstein flat module. Over Noetherian rings the Gorenstein projective...
3) X-direct projective module X-直投射模 4) X-direct projective(injective)module X-直投(内)射模 5) direct-projective covers 直投射覆盖 1. This peper introduces the concept ofdirect-projective covers,and prove that a ring R is left perfect if and only if every left R-module(flat left ...
On w-projective modules and w-flat modules A torsion-free module M over a domain r is called w-projective if M_w is of finite type and M_P is free for any maximal w-ideal P of R. In this paper, we s... F Wang - 《Algebra Colloquium》 被引量: 85发表: 1997年 A note on ...