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2. Regular local hyperrings and hyperdomainsHashem Bordbar, Irina Cristea, Sanja Rasovic, 2022, izvirni znanstveni članek Opis: 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.
Ključne besede: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Objavljeno v RUNG: 27.09.2022; Ogledov: 435; Prenosov: 16
 Celotno besedilo (258,07 KB) |
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8. Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures2020, znanstvena monografija Ključne besede: symmetry, hypergroup, hyperring, hyperfield, fundamental relation, rough set, fuzzy set, multiset, soft set, hyperhomography, BCK-algebra, multiautomatom, artificial neuron, hypergraph
Objavljeno v RUNG: 27.03.2020; Ogledov: 1881; Prenosov: 0
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