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12. Regular local hyperrings and hyperdomainsHashem Bordbar, Irina Elena Cristea, Sanja Rasovic, 2022, original scientific article 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 Published in RUNG: 27.09.2022; Views: 1081; Downloads: 21 Full text (258,07 KB) |
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16. Iranmanesh, Mahdeyeh; Jafarpour, Morteza; Aghabozorgi, Hossien; Zhan, Jian Ming Classification of Krasner hyperfields of order 4. Acta Math. Sin. (Engl. Ser.) 36 (2020), no. 8, 889–902.Irina Elena Cristea, 2022, review, book review, critique Keywords: Krasner hyperfield, polygroup, order, Matlab Published in RUNG: 11.05.2022; Views: 1293; Downloads: 0 This document has many files! More... |
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20. Knots and knot-hyperpaths in hypergraphsSaifur Rahman, Maitrayee Chowdhury, A. Firos, Irina Elena Cristea, 2022, original scientific article Keywords: hypergraph, hyperpath, hypertree, knot, hypercontinuity, equivalent hyperpaths Published in RUNG: 31.01.2022; Views: 1545; Downloads: 70 Link to full text This document has many files! More... |