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Finite Semisimple Loop Algebras of Indecomposable RA Loops

Published online by Cambridge University Press:  20 November 2018

Swati Sidana  and
R. K. Sharma
Swati Sidana
Affiliation:
Department Of Mathematics, Indian Institute of Technology Delhi, New Delhi, India. R. K. Sharma is the corresponding author e-mail: [email protected] e-mail: [email protected]
R. K. Sharma
Affiliation:
Department Of Mathematics, Indian Institute of Technology Delhi, New Delhi, India. R. K. Sharma is the corresponding author e-mail: [email protected] e-mail: [email protected]
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Abstract

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There are seven classes of finite indecomposable RA loops upto isomorphism. In this paper, we completely characterize the structure of the unit loop of loop algebras of these seven classes of loops over finite fields of characteristic greater than 2.

Keywords

20N0517D05unit looploop algebraindecomposable RA loops
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 2 , 01 June 2015 , pp. 363 - 373
Copyright
Copyright © Canadian Mathematical Society 2015

References

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