排序方式: 共有35条查询结果,搜索用时 15 毫秒
31.
Mustafa Kemal Berktaş 《代数通讯》2017,45(8):3334-3339
In this paper, we examine the pure Goldie dimension and dual pure Goldie dimension in finitely accessible additive categories. In particular, we show that if A is an object in a finitely accessible additive category 𝒜 that has finite pure Goldie dimension n and finite dual pure Goldie dimension m, then End𝒜(A) is semilocal and the dual Goldie dimension of End𝒜(A) is less than or equal to n+m. 相似文献
32.
In [2] Camillo and Zelmanowitz stated that rings all whose modules are dimension modules are semisimple Artinian. It seem however that the proof in [2] contains a gap and applies to rings with finite Goldie dimension only. In this paper we show that the result indeed holds for all rings with a basis as well as for all commutative rings with Goldie dimension attained. 相似文献
33.
In this paper, we show that if C is a module with finite Goldie dimension, and A + C≌B + C, then there are essential submodules A'△ A, B'△ B such that A'≌ B'. 相似文献
34.
关于SF-环的几点注记 总被引:3,自引:0,他引:3
本文中,我们证明了如下主要结果:Ⅰ 对于环R,下面条件是等价的:(1)R是Artin半单环;(2)R是左SF-环,且R满足特殊右零化于降链条件;(3)R是左SF-环和I-环,且R ̄R具有有限Goldie维数。Ⅱ对于环R,下面条件是等价的:(1)R是VonNeumann正则环;(2)R是左SF-环,且每个苛异循环左R-模的极大子模是平坦的。 相似文献
35.
The aim of this article is to present a latticial version of the renown module theoretical Osofsky–Smith Theorem. 相似文献