Results 151 to 160 of about 4,706 (177)

SEMIGROUPS WITH MAXIMUM COMMUTING REGULARITY DEGREE

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: The commuting regularity degree, \(\mathrm{dcr}(S)\) of a non-group semigroup \(S\) is defined and studied recently by the authors [Creat. Math. Inform. 24, No. 1, 43--47 (2015; Zbl 1349.20044)], where \(\mathrm{dcr}(S)\) is the probability that a pair \((x,y)\) of the elements of \(S\) is a commuting regular pair (the pair \((x,y)\) is called
Firuzkuhy, A., Doostie, H.
openaire   +2 more sources

CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE

Communications in Algebra, 2001
In this paper, we shall determine, up to isomorphism, all finite groups G with commutativity degree d(G) greater than or equal to ½.
Paul Lescot
exaly   +2 more sources

A Generalization of Commutativity Degree of Finite Groups

Communications in Algebra, 2012
Ashish Kumar Das, Rajat Kanti Nath
exaly   +2 more sources

Subgroup S-commutativity degrees of finite groups

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2012
The so--called subgroup commutativity degree $sd(G)$ of a finite group $G$ is the number of permuting subgroups $(H,K) \in \mathrm{L}(G) \times \mathrm{L}(G)$, where $\mathrm{L}(G)$ is the subgroup lattice of $G$, divided by $|\mathrm{L}(G)|^2$. It allows us to measure how $G$ is far from the celebrated classification of quasihamiltonian groups of K ...
Francesco G Russo
exaly   +6 more sources

Neighbors Degree Sum Energy of Commuting and Non-Commuting Graphs for Dihedral Groups

Malaysian Journal of Mathematical Sciences, 2023
The neighbors degree sum (NDS) energy of a graph is determined by the sum of its absolute eigenvalues from its corresponding neighbors degree sum matrix. The non-diagonal entries of NDS−matrix are the summation of the degree of two adjacent vertices, or it is zero for non-adjacent vertices, whereas for the diagonal entries are the negative of the ...
Romdhini, M. U., Nawawi, A., Chen, C. Y.
openaire   +1 more source

Subgroups with large relative commutativity degree

Quaestiones Mathematicae, 2017
Hesam Safa
exaly   +2 more sources

Commutativity degree of cyclic chains of some of finite groups

Journal of Interdisciplinary Mathematics
For a finite group G, we introduce the concept of commutativity degree of its cyclic chains. We denote the commutativity degree of cyclic chains of a group G by ccd(G), and compute this measure for some famous groups such as dihedral groups D2n ...
H. Darabi, M. Imanparast, Mostafa Sajedi
semanticscholar   +1 more source

EVOLUTION ALGEBRAS SATISFYING DEGREE FOUR IDENTITIES NOT IMPLIED BY COMMUTATIVITY AND WITH NO UNIT ELEMENT

JP Journal of Algebra Number Theory and Applications
The aim of this paper is to study evolution algebras satisfying identity \left\{(x y)^2-x^2 y^2\right\}-2\left\{((x y) x) y+((x y) y) x-\left(y^2 x\right) x-\left(x^2 y\right) y\right\}=0 not implied by commutativity and with no unit element.
Savadogo Souleymane, Konkobo Amidou, O. Moussa   +2 more
semanticscholar   +1 more source

On the Relative Commutativity Degree of a Subgroup of a Finite Group

Communications in Algebra, 2007
A. Erfanian, R. Rezaei, P. Lescot
exaly   +2 more sources

Finite Groups with Four Relative Commutativity Degrees

Algebra Colloquium, 2015
It is shown that a finite group G has four relative commutativity degrees if and only if G/Z(G) is a p-group of order p3 and G has no abelian maximal subgroups, or G/Z(G) is a Frobenius group with Frobenius kernel and complement isomorphic to ℤp × ℤp and ℤq, respectively, and the Sylow p-subgroup of G is abelian, where p and q are distinct primes.
Erfanian, A., Farrokhi D. G., M.
openaire   +1 more source