The meaning of computer search in the study of some classes of IM-quasigroups

Zdenka Kolar-BegovićVladimir Volenec

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The meaning of computer search in the study of some classes of IM-quasigroups

机译：计算机搜索在IM准类群研究中的意义

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The IM-quasigroup C(q) for or is a GS-quasigroup. Some interesting geometric concepts can be introduced in a general GS-quasigroup and their nice geometric representations can be given in the mentioned GS-quasigroup which justifies the research of this quasigroup. The concept of a parallelogram can be defined by means of several equivalent formulae. Some of them can be obtained by means of a computer. We shall choose a suitable formula for the definition of a parallelogram which allows the characterization of GS-quasigroups by means of commutative groups.

机译：或为GS准群的IM准群C（q）。可以在一般的GS-准群中引入一些有趣的几何概念，并在提到的GS-准群中给出它们的良好几何表示，这证明了对该准群的研究的正确性。平行四边形的概念可以通过几个等式来定义。其中一些可以通过计算机获得。我们将为平行四边形的定义选择合适的公式，该公式可以通过交换基团来表征GS-准基团。

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《Annali dell'Universita di Ferrara》 |2007年第2期|293-297|共5页
作者
Zdenka Kolar-BegovićVladimir Volenec;
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作者单位

Department of Mathematics, University of Osijek, Gajev trg 6, 31 000 Osijek, Croatia;

Department of Mathematics, University of Zagreb, Bijenička c. 30, 10 000 Zagreb, Croatia;

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原文格式 PDF
正文语种 eng
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关键词
GS; quasigroup; Commutative group; Parallelogram;

机译：GS;准群;交换群;平行四边形;

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The meaning of computer search in the study of some classes of IM-quasigroups

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