[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2004.41.3.493

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 493-505 More about this Journal

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.

Keywords

web; loop; chain reflection; Thomsen condition; local Thomsen condition;

Citations & Related Records

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