Repository of University of Nova Gorica

Show document
A+ | A- | Help | SLO | ENG

Title:A characterization of normal injective and normal projective hypermodules
Authors:ID Türkmen, Ergül (Author)
ID Türkmen, Burcu Nİşancl (Author)
ID Bordbar, Hashem (Author)
Files:.pdf axioms-13-00410.pdf (277,55 KB)
MD5: 978D6758B2E32CB6D69957084CFD858A
 
URL https://www.mdpi.com/2075-1680/13/6/410
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:This study is motivated by the recently published papers on normal injective and normal projective hypermodules. We provide a new characterization of the normal injective and normal projective hypermodules by using the splitting of the short exact sequences of hypermodules. After presenting some of their fundamental properties, we show that if a hypermodule is normal projective, then every exact sequence ending with it is splitting. Moreover, if a hypermodule is a normal injective, then every exact sequence starting with it is splitting as well. Finally, we investigate the relationships between semisimple, simple, normal injective, and normal projective hypermodules.
Keywords:short exact sequence, normal injective hypermodule, normal projective hypermodule
Publication status:Published
Publication version:Version of Record
Publication date:18.06.2024
Year of publishing:2024
Number of pages:str. 1-11
Numbering:Vol. 13, issue 6, [article no.] 410
PID:20.500.12556/RUNG-9134 New window
COBISS.SI-ID:199507459 New window
UDC:51
ISSN on article:2075-1680
DOI:10.3390/axioms13060410 New window
NUK URN:URN:SI:UNG:REP:LECHSTCP
Publication date in RUNG:20.06.2024
Views:1324
Downloads:8
Metadata:XML DC-XML DC-RDF
:
TÜRKMEN, Ergül, TÜRKMEN, Burcu Nİşancl and BORDBAR, Hashem, 2024, A characterization of normal injective and normal projective hypermodules. Axioms [online]. 2024. Vol. 13, no. 6,  410, p. 1–11. [Accessed 16 April 2025]. DOI 10.3390/axioms13060410. Retrieved from: https://repozitorij.ung.si/IzpisGradiva.php?lang=eng&id=9134
Copy citation
  
Average score:
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share


Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Record is a part of a journal

Title:Axioms
Shortened title:Axioms
Publisher:MDPI
ISSN:2075-1680
COBISS.SI-ID:519951897 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Funding programme:Raziskovalni in infrastrukturni programi ARIS
Project number:P2-0103

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Back