Results 91 to 100 of about 136 (119)
Mathematical aspects of molecular replacement. I. Algebraic properties of motion spaces. [PDF]
Chirikjian GS.
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PROPERTIES OF HYPERPRODUCTS AND THE RELATION β IN QUASIHYPERGROUPS
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
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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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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Image Privacy Protection Communication Scheme by Fibonacci Interleaved Diffusion and Non-Degenerate Discrete Chaos. [PDF]
Xie Z +5 more
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The c-Differential-Linear Connectivity Table of Vectorial Boolean Functions. [PDF]
Eddahmani S, Mesnager S.
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Group-theoretic analysis of symmetry-preserving deployable structures and metamaterials. [PDF]
Chirikjian GS.
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Quasigroup permutation representations.
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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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.
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