On closure of configurations in freely generated projective planes

IF 0.5 Q4 MATHEMATICS
S. E. ©MR, Issn, Ñèáèðñêèå Ýëåêòðîííûå, ÌÀÒÅÌÀÒÈ×ÅÑÊÈÅ ÈÇÂÅÑÒÈß, N. T. Kogabaev
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引用次数: 0

Abstract

Let F be an arbitrary freely generated projective plane. Based on Shirshov's combinatorial method, we introduce the notion of a reduced con guration in F . We prove that for every subplane P generated in F by some con guration B, there is a reduced con guration B′ such that P is freely generated by B′.
自由生成投影平面中构型的闭包
设F是一个任意自由生成的投影平面。在Shirshov组合方法的基础上,引入了简化构型的概念。我们证明了对于F中由某个构型B生成的每一个子平面P,存在一个简化构型B ',使得P可以由B '自由生成。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.00
自引率
25.00%
发文量
15
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