AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (271.9 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

On generalizations of strongly s s-discrete modules

Yıldız Aydın1( ), Burcu Nişancı Türkmen2
Department of Management Information Systems, Faculty of Economics, Administrative and Social Sciences, İstanbul Gelişim University, Avcılar, 34310, İstanbul, Türkiye
Department of Mathematics, Faculty of Science and Arts, Amasya University, İpekköy, 05100, Amasya, Türkiye
Show Author Information

Abstract

In this paper, we introduced the notions of L A -lifting modules and L A -discrete modules, which are strong concepts of lifting modules and discrete modules, respectively. We provided some conditions of these modules and generalizations of s s-lifting modules and s s-discrete modules, respectively. Finally, we characterized L A -lifting modules via left perfect rings and strongly L A -discrete rings by using the notion of semiperfect rings.

Keywords

locally Artinian moduleslocally Artinian supplemented moduleslifting modulesLA-lifting modulesdiscrete modulesLA-discrete modulesperfect ringssemiperfect rings
CLC number: 16D10, 16D40, 16D70

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 3,
March 2026
Pages 8812-8831
DOI: 10.3934/math.2026362

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Aydın Y, Türkmen BN. On generalizations of strongly s s-discrete modules. AIMS Mathematics, 2026, 11(3): 8812-8831. https://doi.org/10.3934/math.2026362

6

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 28 October 2025
Revised: 17 March 2026
Accepted: 27 March 2026
Published: 15 March 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)