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The Class Equation and the Commutativity Degree for Complete Hypergroups
Mathematics, 2020 The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the ...
Irina Cristea +2 more
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On the commutativity degree in finite Moufang loops [PDF]
International Journal of Group Theory, 2016 The textit{commutativity degree}, $Pr(G)$, of a finite group $G$ (i.e. the probability that two (randomly chosen) elements of $G$ commute with respect to its operation)) has been studied well by many authors.
Karim Ahmadidelir
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Commutativity Degree of Certain Finite AC-Groups [PDF]
Mathematics Interdisciplinary Research, 2021 For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P(G). As a matter of fact, if C = {(a; b) ∈ G×G | ab = ba}, then P(G) = |C|/|G|2 .
Azizollah Azad, Sakineh Rahbariyan
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The probability of commuting subgroups in arbitrary lattices of subgroups [PDF]
International Journal of Group Theory, 2021 A finite group $G$, in which two randomly chosen subgroups $H$ and $K$ commute, has been classified by Iwasawa in 1941. It is possible to define a probabilistic notion, which ``measures the distance'' of $G$ from the groups of Iwasawa.
Seid Kassaw Muhie, Francesco G. Russo
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Commutativity and Completeness Degrees of Weakly Complete Hypergroups
Mathematics, 2022 We introduce a family of hypergroups, called weakly complete, generalizing the construction of complete hypergroups. Starting from a given group G, our construction prescribes the β-classes of the hypergroups and allows some hyperproducts not to be ...
Mario De Salvo +3 more
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New Aspects in the Theory of Complete Hypergroups
Computer Sciences & Mathematics Forum, 2023 The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete ...
Irina Cristea
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Entropy, 2023 In classical physics, there is a well-known theorem in which it is established that the energy per degree of freedom is the same. However, in quantum mechanics, due to the non-commutativity of some pairs of observables and the possibility of having non ...
Esteban Marulanda +2 more
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New aspects in polygroup theory
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup PG and for extension of polygroups by polygroups, obtaining boundaries for them.
Sonea Andromeda Cristina
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On the Quantumness of Multiparameter Estimation Problems for Qubit Systems
Entropy, 2020 The estimation of more than one parameter in quantum mechanics is a fundamental problem with relevant practical applications. In fact, the ultimate limits in the achievable estimation precision are ultimately linked with the non-commutativity of ...
Sholeh Razavian +2 more
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Electric–magnetic dualities in non-abelian and non-commutative gauge theories
Nuclear Physics B, 2016 Electric–magnetic dualities are equivalence between strong and weak coupling constants. A standard example is the exchange of electric and magnetic fields in an abelian gauge theory.
Jun-Kai Ho, Chen-Te Ma
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