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Title:Regular local hyperrings and hyperdomains
Authors:Bordbar, Hashem (Author)
Cristea, Irina (Author)
Rasovic, Sanja (Author)
Files:.pdf 10.3934_math.20221138.pdf (258,07 KB)
Work type:Not categorized (r6)
Tipology: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
Year of publishing:2022
Number of pages:20767-20780
Numbering:7, 12
COBISS_ID:123160323 Link is opened in a new window
DOI: Link is opened in a new window
License:CC BY 4.0
This work is available under this license: Creative Commons Attribution 4.0 International
Categories:Document is not linked to any category.
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Title:AIMS Mathematics
Shortened title:AIMS
Publisher:AIMS Press
Year of publishing:2022