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Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications
Journal of Applied MathematicsMany real-world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the ...
Muhammad Nadeem +2 more
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'Nobody could possibly misunderstand what a group is': a study in early twentieth-century group axiomatics. [PDF]
Arch Hist Exact Sci, 2017 Hollings CD.
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Le Matematiche, 1990 We prove that a set of v-2 symmetric idempotent latin squares of order v, such that no two of them agree in a off-diagonal position, exists for all odd v>>0.
Luc Teirlinck
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Parallelograms in quadratical quasigroups
Quasigroups and related systems, 2010 The "geometric" concept of parallelogram is introduced and investigated in a general quadratical quasigroup and geometrical interpretation in a quadratical quasigroup $C(1/2(1+i)))$ is given. Some statements about relationships between the parallelograms and some other geometric structures in a general quadratical quasigroup will be also considered.
Volenec, V., Kolar-Super, R.
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Research on multi-algorithm and explainable AI techniques for predictive modeling of acute spinal cord injury using multimodal data. [PDF]
Sci RepTai J +9 more
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, 2007 The author proves a one-to-one correspondence between groups and a variety of quasigroups that he calls double Ward quasigroups, denoted by \(\text{DW}(G)\), analogous to the correspondence between groups and Ward quasigroups. In the last part of the paper the author presents two problems. Problem 1.
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A novel study on the structure of left almost hypermodules. [PDF]
HeliyonAbughazalah N +3 more
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A robust and interpretable ensemble machine learning model for predicting healthcare insurance fraud. [PDF]
Sci RepWang Z +5 more
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Quasigroup permutation representations.
, 2003 The paper is a presentation of the current state of the theory of permutation representations of finite quasigroups. Starting from the construction of a quasigroup homogeneous space for a finite quasigroup \(Q\) by means of a subquasigroup \(P\), the author introduces the category \(\text{IFS}_Q\) of iterated function systems over \(Q\).
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Rectangular groupoids and related structures.
Discrete Math, 2013 Boykett T.
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