Results 91 to 100 of about 136 (119)

Homogeneous quasigroups [PDF]

open access: yesPacific Journal of Mathematics, 1964
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PROPERTIES OF HYPERPRODUCTS AND THE RELATION β IN QUASIHYPERGROUPS

open access: yesRatio Mathematica, 1997
Some properties of the complete parts in hyper-groupoids are established. Applying these properties to the case of quasihypergroups H for which H/β*. is a quasigroup, a necessary and sufficient condition for the transitivity of the relation β is proved ...
Marin Gutan
doaj  

Parallelograms in quadratical quasigroups

open access: yesQuasigroups 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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Double Ward quasigroups.

open access: yes, 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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Quasigroup permutation representations.

open access: yes, 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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Quadratical quasigroups

open access: yes, 1997
The author studies quadratical groupoids. Quadratical quasigroups are characterized by commutative groups and some of their automorphisms. Quadratical groupoids are idempotent quasigroups. Such quasigroups are also medial and distributive. This means that such quasigroups are transitive.
openaire   +2 more sources

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