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Two Open Questions On Goldie Extending Modules

Authors: Dejun Wu; Yongduo Wang;

Two Open Questions On Goldie Extending Modules

Abstract

Five open questions on Goldie extending modules were posed by Akalan et al. [1]. The first one and the second one are considered in this article. It is shown that a 𝒢-extending module M with (C 3) is 𝒢+-extending. Moreover, let M = M 1 ⊕ M 2 be a direct sum of 𝒢-extending modules, where M satisfies (C 3) and M 1 is M 2-ojective (or M 2 is M 1-ojective), then M is 𝒢-extending. Other sufficient conditions for a direct sum of 𝒢-extending modules to be 𝒢-extending are obtained.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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