Results 31 to 40 of about 12,672,108 (295)

The Abelian Kernel of an Inverse Semigroup

open access: yesMathematics, 2020
The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches   +1 more
doaj   +1 more source

On Group-Vertex-Magic Labeling of Simple Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq   +2 more
doaj   +1 more source

A note on abelian groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1953
Vijayaraghavan and Chowla [2] have proved the following result. If n=2 or has no primitive root, then there exist suitable reduced residue systems rl, r2, , * * , rh and sl, S2 , . * Sh, where h= 4(n), such that risi, r2s2, * , rhsh is also a complete residue system (mod n).
openaire   +3 more sources

Some special classes of n-abelian groups [PDF]

open access: yesInternational Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj  

A Characterization of Abelian Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
Let G G be a group and let k > 2 k > 2 be an integer such that ( k 3 − k ) > | G | / 2 ({k^3} - k) > |G|
openaire   +2 more sources

On Group Codes Over Elementary Abelian Groups

open access: yesSultan Qaboos University Journal for Science, 2003
For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
doaj   +1 more source

Representation of Finite Abelian Group Elements by Subsequence Sums [PDF]

open access: yes, 2008
Let $G\cong C_{n_1}\oplus ... \oplus C_{n_r}$ be a finite and nontrivial abelian group with $n_1|n_2|...|n_r$. A conjecture of Hamidoune says that if $W=w_1...
D. Grynkiewicz, L. Marchan, Oscar Ordaz
semanticscholar   +1 more source

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj   +1 more source

Non-Abelian Pseudocompact Groups

open access: yesAxioms, 2016
Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
doaj   +1 more source

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