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- W4244727688 abstract "A Takasaki quandle is defined by the binary operation a * b = 2b - a on an abelian group G. A Takasaki quandle depends on the algebraic properties of the underlying abelian group. In this paper, we will study the quotient structure of a Takasaki quandle in terms of its subquandle. If a subquandle X of a quandle Q is a subgroup of the underlying group Q, then we can define the quandle structure on the set {X * g | g ∈ Q}, which is called the quotient quandle of Q. Also we will study conditions for a subquandle X to be a subgroup of the underlying group when it contains the identity element." @default.
- W4244727688 created "2022-05-12" @default.
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- W4244727688 date "2013-10-01" @default.
- W4244727688 modified "2023-09-28" @default.
- W4244727688 title "ON QUOTIENT STRUCTURE OF TAKASAKI QUANDLES" @default.
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- W4244727688 doi "https://doi.org/10.1142/s0218216513410010" @default.
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