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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:.pdf 10.3934_math.20221138.pdf (258,07 KB)
MD5: 65B2C2A7C3858B1F7795FC2051105637
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 New window
COBISS.SI-ID:123160323 New window
DOI: New window
Publication date in RUNG:27.09.2022
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Record is a part of a proceedings


Record is a part of a journal

Title:AIMS Mathematics
Shortened title:AIMS
Publisher:AIMS Press
Year of publishing:2022


License:CC BY 4.0, Creative Commons Attribution 4.0 International
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.
Licensing start date:27.09.2022