Results 11 to 20 of about 160,139 (111)

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

open access: yesJournal of Function Spaces
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance-based, degree-distance-based, and degree-based topological indices.
Muhammad Nadeem   +3 more
doaj   +3 more sources

Linking Bipartiteness and Inversion in Algebra via Graph-Theoretic Methods and Simulink

open access: yesComplexity
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with ...
Mohammad Mazyad Hazzazi   +5 more
doaj   +2 more sources

A Study Of New Concepts In Smarandache Quasigroups And Loops [PDF]

open access: yes, 2009
The various areas where loop theory originated and through which it moved during the early part of its 70 years of history can be mapped and fitted not only in a geographical and a chronological sense but also conceptually. Loop theory is of course a relatively young subject which continues to grow day by day.
Gbolahan, Temitope   +1 more
core   +4 more sources

Smarandache Isotopy Theory Of Smarandache: Quasigroups And Loops [PDF]

open access: yes, 2007
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache $f,g$ principal isotopes and G-Smarandache loops.
Temitope Gbolahan Jaiyeola
openaire   +5 more sources

Effective codescent morphisms of $n$-quasigroups and $n$-loops [PDF]

open access: yesAdvanced Studies: Euro-Tbilisi Mathematical Journal
Effective codescent morphisms of $n$-quasigroups and of $n$-loops are characterized. To this end, it is proved that, for any $n\geq 1$, every codescent morphism of $n$-quasigroups (resp. $n$-loops) is effective. This statement generalizes our earlier results on qusigroups and loops.
Zangurashvili, Dali
openaire   +4 more sources

$F$-quasigroups isotopic to Moufang loops [PDF]

open access: yesCzechoslovak Mathematical Journal, 1979
summary:In Kepka T., Kinyon M.K., Phillips J.D., {\it The structure of F-quasigroups\/}, {\tt math.GR/0510298}, we showed that every loop isotopic to an F-quasigroup is a Moufang loop.
Kinyon, Michael K.   +2 more
openaire   +3 more sources

Nonassociative constructions from inverse property quasigroups [PDF]

open access: yes, 2011
PhDThe notion of a Hopf algebra has been generalized many times by weakening certain properties; we introduce Hopf quasigroups which weaken the associativity of the algebra.
Klim, Jennifer
core   +4 more sources

A New Graphical Representation of the Old Algebraic Structure

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world? With the use of algebraic approaches, we may now tackle a wide range of graph theory‐related problems.
Muhammad Nadeem   +4 more
wiley   +1 more source

Some Algebraic Properties of the Wilson Loop

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this article, some algebraic properties of the Wilson loop have been investigated in a broad manner. These properties include identities, autotopisms, and implications. We use some equivalent conditions to study the behavior of holomorphism of this loop. Under the shadow of this holomorphism, we are able to observe coincident loops.
Han Li   +4 more
wiley   +1 more source

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