Torsion elements and torsionable hypermodules
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;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2023 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UNG - University of Nova Gorica |
| UDC: | 51 |
| COBISS: |
170705923
|
| ISSN: | 2227-7390 |
| Views: | 282 |
| Downloads: | 2 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Type (COBISS): | Not categorized |
|---|---|
| Pages: | str. 1-11 |
| Volume: | ǂVol. ǂ11 |
| Issue: | ǂissue ǂ21, [article no.] 4525 |
| Chronology: | 2023 |
| DOI: | 10.3390/math11214525 |
| ID: | 21815728 |
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