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- W2099676895 abstract "In this paper we make an attempt to study right loops $(S, o)$ in which, for each $yin S$, the map $sigma_y$ from the inner mapping group $G_S$ of $(S, o)$ to itself given by $sigma_y (h)(x) o h(y)= h(xoy)$, $xin S, hin G_S$ is a homomorphism. The concept of twisted automorphisms of a right loop and also the concept of twisted right gyrogroup appears naturally and it turns out that the study is almost equivalent to the study of twisted automorphisms and a twisted right gyrogroup. A representation theorem for twisted right gyrogroup is established. We also study relationship between twisted gyrotransversals and twisted subgroups (a concept which arose as a tool to study computational complexity involving class NP)." @default.
- W2099676895 created "2016-06-24" @default.
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- W2099676895 date "2013-08-20" @default.
- W2099676895 modified "2023-09-27" @default.
- W2099676895 title "Twisted Automorphisms of Right Loops" @default.
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- W2099676895 hasPublicationYear "2013" @default.
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