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On generalised semi-automorphic inverse property loops
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In this paper, we studied the semi-automorphic inverse property (SAIP) loops. Identities characterising the innner mappings of a generalised SAIP was establised, it was shown that a generalised SAIP loop i.e. \alpha-semi-automorphic loops concided with RIP and ARIF loops in the generalised context. A link between the commutant and and Moufang element of the \alpha-semi-automorphic inverse property was establised. Finally, commutant of generalised SAIP loop was found to be a subloop.
Universidad Catolica del Norte - Chile
Title: On generalised semi-automorphic inverse property loops
Description:
In this paper, we studied the semi-automorphic inverse property (SAIP) loops.
Identities characterising the innner mappings of a generalised SAIP was establised, it was shown that a generalised SAIP loop i.
e.
\alpha-semi-automorphic loops concided with RIP and ARIF loops in the generalised context.
A link between the commutant and and Moufang element of the \alpha-semi-automorphic inverse property was establised.
Finally, commutant of generalised SAIP loop was found to be a subloop.
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