Results 111 to 120 of about 2,882 (151)

The Burnside algebra of a quasigroup

Journal of Algebra, 2004
In this paper the author extends the Burnside algebra concept from groups to quasigroups. Given a subquasigroup \(P\) of a finite quasigroup \(Q\), the elements of the corresponding homogeneous space \(P\setminus Q\) are the orbits on \(Q\) of the relative left multiplication group of \(P\) in \(Q\).
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Linear quasigroups. I

, 2011
The article is devoted to linear quasigroups and some of their generalizations. In the first part main definitions and notions of the theory of quasigroups are given. In the second part some elementary properties of linear quasigroups and their generalizations are presented.
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An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields. [PDF]

Springerplus, 2016
Zhang Y, Zhang H.
europepmc   +1 more source

Mathematical aspects of molecular replacement. I. Algebraic properties of motion spaces. [PDF]

Acta Crystallogr A, 2011
Chirikjian GS.
europepmc   +1 more source

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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'Nobody could possibly misunderstand what a group is': a study in early twentieth-century group axiomatics. [PDF]

Arch Hist Exact Sci, 2017
Hollings CD.
europepmc   +1 more source

Abelian quasigroups and T-quasigroups

, 1994
By means of known results with respect to algebras of a congruence modular variety it is proved that abelian in the sense of McKenzie quasigroups, i.e. quasigroups coinciding with their centre, are T-quasigroups and conversely.
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On the use of pairwise balanced designs and closure spaces in the construction of structures of degree at least 3

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
doaj  

Homogeneous quasigroups [PDF]

Pacific Journal of Mathematics, 1964
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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 Rep
Tai J, Wang L, Xie Y, Li Y, Fu H, Ma X, Li H, Li X, Yan Z, Liu J.   +9 more
europepmc   +1 more source