Half-Isomorphism of Generalized Bol Loop

M.Gokila vani; S.K.Vijay Amrtha; S. Hingis

doi:https://doi.org/10.14445/22315373/IJMTT-V66I2P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 2 | Year 2020 | Article Id. IJMTT-V66I2P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I2P504

Half-Isomorphism of Generalized Bol Loop

M.Gokila vani,S.K.Vijay Amrtha, S. Hingis

Abstract

In this article the Generalized Bol loop structure and some useful results are discovered. It is based on Moufang loop’s definition and some basic results of diassociative algebra. Here, we proved that the Half-isomorphism of Generalized Bol loops.

Keywords

bol loop, half-isomorphism.

References

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[2] R. Mansfield, A group determinant determines its group, Proc. Amer. Math. Soc.116 (1992), 939-941.
[3] W. W. McCune, Prover9 and Mace4, version 2009-11A. http://www.cs.unm.edu/ mccune/prover9/
[4] R. Moufang, ZurStruktur von Alternativkoerpern, Math. Ann. 110 (1935), 416-430.
[5] H. O. Pflugfelder, Quasigroups and Loops: Introduction, Sigma Series in Pure Math. 7, Heldermann, 1990
[6] W. R. Scott, Half-homomorphisms of groups, Proc. Amer. Math. Soc. 8 (1957), 1141-1144.

Citation :

M.Gokila vani,S.K.Vijay Amrtha, S. Hingis, "Half-Isomorphism of Generalized Bol Loop," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 2, pp. 37-41, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I2P504