Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THOMSEN CONDITIONS ON WEBS AND THEIR CORRESPONDING LOOPS

  • Im, Bok-Hee (Department of Mathematics, Chonnam National University) ;
  • Oh, In-Sook (Department of Mathematics, Chonnam National University)
  • Published : 2004.08.01
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Abstract

We introduce certain local Thomsen condition in a 3-web and prove that it is equivalent to the equation a－(a－b)＝b in its corresponding loop, where we denote the loop operation additively for convenience and simplicity, even though the loop is neither associative nor commutative. Also we interpret such local Thomsen condition using orthogonality of chains in a web.

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References

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