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THOMSEN CONDITIONS ON WEBS AND THEIR CORRESPONDING LOOPS
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 Title & Authors
THOMSEN CONDITIONS ON WEBS AND THEIR CORRESPONDING LOOPS
Im, Bok-Hee; Oh, In-Sook;
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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.
 Keywords
web;loop;chain reflection;Thomsen condition;local Thomsen condition;
 Language
English
 Cited by
 References
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