Left inverse property loop: Difference between revisions
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==Definition== | ==Definition== | ||
A [[loop]] <math>(L,*)</math> is termed a '''left-inverse property loop''' or '''LIP-loop''' or '''left-inverse loop''' if there exists a bijection <math>\lambda:L \to L</math> such that: | |||
<math>\! \lambda(a) * (a * b) = b \ \forall \ a \in L</math> | <math>\! \lambda(a) * (a * b) = b \ \forall \ a \in L</math> | ||
Latest revision as of 14:56, 26 June 2012
This article defines a property that can be evaluated for a loop.
View other properties of loops
Definition
A loop is termed a left-inverse property loop or LIP-loop or left-inverse loop if there exists a bijection such that:
