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arXiv · 0802.1415

An holomorphic study of Smarandache automorphic and cross inverse ploperty loops

Temitope Gbolahan Jaiyeola
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Abstract

By studying the holomorphic structure of automorphic inverse property quasigroups and loops[AIPQ and (AIPL)] and cross inverse property quasigroups and loops[CIPQ and (CIPL)], it is established that the holomorph of a loop is a Smarandache; AIPL, CIPL, K-loop, Bruck-loop or Kikkawa-loop if and only if its Smarandache automorphism group is trivial and the loop is itself is a Smarandache; AIPL, CIPL, K-loop, Bruck-loop or Kikkawa-loop.

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Temitope Gbolahan Jaiyeola. 2008-06-05. An holomorphic study of Smarandache automorphic and cross inverse ploperty loops. https://arxiv.org/abs/0802.1415

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