General Mathematics


An Holomorphic Study Of Smarandache Automorphic and Cross Inverse Property Loops

Authors: Temotope Gbolahan Jayeola

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.

Comments: 9 Pages.

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Submission history

[v1] 2017-06-06 00:33:27

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