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Title:Torsion elements and torsionable hypermodules
Authors:ID Bordbar, Hashem (Author)
Files:.pdf mathematics-11-04525.pdf (274,24 KB)
MD5: 0919C3B7E50C47B90E825E56FF3CB0E2
 
URL https://www.mdpi.com/2227-7390/11/21/4525
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:This article is motivated by the recently published studies on divisible hypermodules and falls in the area of hypercompositional algebra. In particular, it focuses on the torsion elements in Krasner hypermodules. First, we define the concept of a torsion element over a hypermodule, and based on it, we introduce a new class of hypermodules, namely the torsionable hypermodule. After investigating some of their fundamental properties, we will show that the class of torsionable hypermodules is a subclass of the class of divisible hypermodules. Finally, we present the relationships between divisible, torsionable, and normal injective hypermodules.
Keywords:hypermodules, zero divisors, torsion elements, torsionable hypermodules, normal injective hypermodules
Publication date:01.01.2023
Year of publishing:2023
Number of pages:str. 1-11
Numbering:Vol. 11, issue 21, [article no.] 4525
PID:20.500.12556/RUNG-8612-557182b4-5444-4a89-5d93-44146aef56bc New window
COBISS.SI-ID:170705923 New window
UDC:51
ISSN on article:2227-7390
DOI:10.3390/math11214525 New window
NUK URN:URN:SI:UNG:REP:329SA9CD
Publication date in RUNG:03.11.2023
Views:712
Downloads:3
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Record is a part of a journal

Title:Mathematics
Shortened title:Mathematics
Publisher:MDPI AG
ISSN:2227-7390
COBISS.SI-ID:523267865 New window

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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.

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