| Title: | Regular local hyperrings and hyperdomains |
|---|
| Authors: | ID Bordbar, Hashem, University of Nova Gorica (Author)
ID Cristea, Irina Elena, University of Nova Gorica (Author)
ID Rasovic, Sanja, University of Montenegro (Author) |
|---|
| Files: |  10.3934_math.20221138.pdf (258,07 KB)
MD5: 65B2C2A7C3858B1F7795FC2051105637
|
|---|
| Language: | English |
|---|
| Work type: | Not categorized |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | UNG - University of Nova Gorica
|
|---|
| Abstract: | This paper falls in the area of hypercompositional algebra. In particular, it focuses on the
class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings R with a unique maximal hyperideal M having the dimension equal to the dimension of the vectorial hyperspace M. The aim of the paper is to show that any regular local hyperring is a hyperdomain. M2 For proving this, we make use of the relationship existing between the dimension of the vectorial hyperspaces related to the hyperring R and to the quotient hyperring R = R , where a is an element in M \ M2, and of the regularity of R. |
|---|
| Keywords: | hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain |
|---|
| Publication version: | Version of Record |
|---|
| Year of publishing: | 2022 |
|---|
| Number of pages: | 20767-20780 |
|---|
| Numbering: | 12, 7 |
|---|
| PID: | 20.500.12556/RUNG-7630  |
|---|
| COBISS.SI-ID: | 123160323 |
|---|
| DOI: | https://doi.org/10.3934/math.20221138 |
|---|
| NUK URN: | URN:SI:UNG:REP:YVRIZZNJ |
|---|
| Publication date in RUNG: | 27.09.2022 |
|---|
| Views: | 1855 |
|---|
| Downloads: | 27 |
|---|
| 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. |
