Results 1 to 10 of about 11,644 (234)

ON ABELIAN FUZZY MULTI GROUPS AND ORDERS OF FUZZY MULTI GROUPS

open access: goldJournal of New Theory, 2015
– As a continuation of the study of various algebraic structures of Fuzzy Multisets, in this paper the concept of Abelian fuzzy multigroups, left and right cosets of fuzzy multi groups and fuzzy multi order of an element of a group are introduced and its
Anagha Baby   +2 more
doaj   +2 more sources

Abelian Groups of Fractional Operators

open access: yesComputer Sciences & Mathematics Forum, 2022
Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez   +2 more
doaj   +1 more source

Sum structures in abelian groups

open access: yesExamples and Counterexamples, 2023
Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
doaj   +1 more source

On Sum-Free Subsets of Abelian Groups

open access: yesAxioms, 2023
In this paper, we discuss some of the key properties of sum-free subsets of abelian groups. Our discussion has been designed with a broader readership in mind and is hence not overly technical.
Renato Cordeiro de Amorim
doaj   +1 more source

Utumi Abelian groups

open access: yesRendiconti del Seminario Matematico della Università di Padova, 2023
In a recent paper written by Y. Ibrahim and M. Yousif (2018), the following class of modules is considered: a right R -module M is called a Utumi
Călugăreanu, Grigore, Das, Soumitra
openaire   +2 more sources

Endoprimal abelian groups [PDF]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1999
AbstractA group A is said to be endoprimal if its term functions are precisely the functions which permute with all endomorphisms of A. In this paper we describe endoprimal groups in the following three classes of abelian groups: torsion groups, torsionfree groups of rank at most 2, direct sums of a torsion group and a torsionfree group of rank 1.
Kaarli, Kalle, Márki, László
openaire   +2 more sources

Metric spaces related to Abelian groups

open access: yesApplied General Topology, 2021
When working with a metric space, we are dealing with the additive group (R, +). Replacing (R, +) with an Abelian group (G, ∗), offers a new structure of a metric space. We call it a G-metric space and the induced topology is called the G-metric topology.
Amir Veisi, Ali Delbaznasab
doaj   +1 more source

On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups

open access: yesComptes Rendus. Mathématique, 2023
We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.
Rai, Pradeep K.
doaj   +1 more source

On cosmall Abelian groups [PDF]

open access: yesJournal of Algebra, 2007
In the present paper the authors investigate what happens with Abelian groups with dual properties of some well known homological characterizations of (self-)small Abelian groups (modules). More precisely, an Abelian group \(G\) is called `cosmall' if \(\Hom(\prod_{i\in I}A_i,G)\) and \(\prod_{i\in I}\Hom(A_i,G)\) are naturally isomorphic for all ...
Goldsmith, Brendan, Kolman, O.
openaire   +4 more sources

On sheaves of Abelian groups and universality

open access: yesApplied General Topology, 2021
Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects.
S.D. Iliadis, Yu. V. Sadovnichy
doaj   +1 more source

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