| Title: | Regular local hyperrings and hyperdomains |
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| Authors: | Bordbar, Hashem (Author)
Cristea, Irina (Author)
Rasovic, Sanja (Author) |
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| Files: |  10.3934_math.20221138.pdf (258,07 KB)
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| Language: | English |
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| Work type: | Not categorized (r6) |
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| Tipology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica |
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| 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. |
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| Keywords: | hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain |
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| Year of publishing: | 2022 |
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| Number of pages: | 20767-20780 |
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| Numbering: | 7, 12 |
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| COBISS_ID: | 123160323  |
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| URN: | URN:SI:UNG:REP:YVRIZZNJ |
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| DOI: | https://doi.org/10.3934/math.20221138 |
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| License: | 
This work is available under this license: Creative Commons Attribution 4.0 International |
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| Views: | 272 |
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| Downloads: | 11 |
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| Metadata: |     |
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| Categories: | Document is not linked to any category. |
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