| Title: | Torsion elements and torsionable hypermodules |
|---|
| Authors: | ID Bordbar, Hashem (Author) |
|---|
| Files: |  mathematics-11-04525.pdf (274,24 KB)
MD5: 0919C3B7E50C47B90E825E56FF3CB0E2
 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  |
|---|
| COBISS.SI-ID: | 170705923 |
|---|
| UDC: | 51 |
|---|
| ISSN on article: | 2227-7390 |
|---|
| DOI: | 10.3390/math11214525 |
|---|
| NUK URN: | URN:SI:UNG:REP:329SA9CD |
|---|
| Publication date in RUNG: | 03.11.2023 |
|---|
| Views: | 608 |
|---|
| Downloads: | 3 |
|---|
| Metadata: |     |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
