Results 61 to 70 of about 186 (132)

On the number of Hv-rings with P-hyperoperations

open access: yesDiscrete Mathematics, 1996
The object of the paper is the class of \(H_v\)-rings with \(P\)-hyperoperations. These \(H_v\)-rings are based on given rings and the homomorphisms on the basic rings lead to homomorphisms on the resulting \(H_v\)-rings. Results on \(H_v\)-rings with \(P\)-hyperoperations defined on a basic ring are presented, especially using translations.
openaire   +1 more source

N-ary hyperstructures associated to the genotypes of F2-offspring

open access: yes, 2017
In this paper, we consider an application of hyperstructure theory in biological inheritance in which we deal with [Formula: see text]-ary hyperstructures associated to the genotypes of the second generation [Formula: see text] for [Formula: see text ...
B. Davvaz, M. Al-Tahan
core   +1 more source

Hyperoperations defined on sets of S -helix matrices [PDF]

open access: yesJournal of Algebraic Hyperstructures and Logical Algebras, 2020
A hyperproduct on non-square ordinary matrices can be defined by using the helix-hyperoperation. Therefore, the helix-hyperoperation (abbreviated hope ) is based on a classical operation and was introduced in order to overcome the non-existing cases.
openaire   +1 more source

Some Remarks on Congruences obtained from the L-Fuzzy Nakano Hyperoperation

open access: yes, 2003
In this paper we study relations which are congruences with respect to p , where p is the p-cut of the L-fuzzy hyperoperation #
Ath Kehagias, K. Serafimidis
core  

Hyperstructures associated with binary relations

open access: yes, 2006
In this paper, we deal with the partial hyperoperation introduced and studied by Corsini [1]. Various characterizations of the relations R, so that (H, ÕR) is a hypergroupoid, are given by means of the associated Boolean matrices. All hypergroupoids (H,
Mamaloukas, C., Spartalis, S.I.
core   +1 more source

On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups

open access: yes, 2020
We introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA ...
Minghao Hu   +2 more
core   +1 more source

Hyperoperation: Introduction To The Theory And Potential Solutions

open access: yes, 2019
We investigate the sequence of hyperoperations, which begins with addition, multiplication, andexponentiation. The nth hyperoperation is defined by iterating the previous operation.
Dalthorp, Mark
core  

Some Hypergroups Induced By Tree Automata

open access: yes, 2012
: In this paper, we present some connections between tree automaton theory and hyperstructure theory. In this regard, at first we construct some hyperoperations on the set of trees and, specially, prove that one of them creates a join space.
M Ghorani, M M Zahedi
core  

Realm Calculus: Foundations of Hyperoperational Analysis

open access: yes
Most known non-Newtonian calculus is a special case of a single parameter space. This paper identifies that space and provides explicit generators for constructing new branches of analysis.A realm calculus is built by choosing two levels of the Ackermann-Goodstein hyperoperational hierarchy: one governing how the input is perturbed, one governing how ...
  +8 more sources

Ασαφή Σύνολα, Αλγεβρικές Υπερδοµές και η µεταξύ τους σχέση

open access: yes, 2021
Βιβλιογραφία: 135-139Η παρούσα εργασία είναι µια εισαγωγική προσέγγιση της σχέσης που υπάρχει µεταξύ των αλγεβρικών υπερδοµών και των ασαφών συνόλων. Πρόκειται για πεδία των Mαθηµατικών τα οποία εδράζονται στο κοινό υπόβαθρο της κλασικής άλγεβρας και ...
Ανταμπούφης, Νικόλαος   +1 more
core   +1 more source

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