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- W3028192275 abstract "The purpose of this paper is to determine skew-symmetric biderivations $text{Bider}_{text{s}}(L, V)$ and commuting linear maps $text{Com}(L, V)$ on a Hom-Lie algebra $(L,alpha)$ having their ranges in an $(L,alpha)$-module $(V, rho, beta)$, which are both closely related to $text{Cent} (L, V)$, the centroid of $(V, rho, beta)$. Specifically, under appropriate assumptions, every $deltaintext{Bider}_{text{s}}(L, V)$ is of the form $delta(x,y)=beta^{-1}gamma([x,y])$ for some $gammain text{Cent} (L, V)$, and $text{Com}(L, V)$ coincides with $text{Cent} (L, V)$. Besides, we give the algorithm for describing $text{Bider}_{text{s}}(L, V)$ and $text{Com}(L, V)$ respectively, and provide several examples." @default.
- W3028192275 created "2020-05-29" @default.
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- W3028192275 date "2020-05-22" @default.
- W3028192275 modified "2023-09-27" @default.
- W3028192275 title "Biderivations and commuting linear maps on Hom-Lie algebras" @default.
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