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- W4300921161 abstract "Let $X$ be a nonempty set and let $i,j in {1,2,3,4}$. We say that a binary operation $F:X^2to X$ is $(i,j)$-selective if $$ F(F(x_1,x_2),F(x_3,x_4))~=~F(x_i,x_j), $$ for all $x_1,x_2,x_3,x_4in X$. In this paper we provide characterizations of the class of $(i,j)$-selective operations. We also investigate some subclasses by adding algebraic properties such as associativity or bisymmetry." @default.
- W4300921161 created "2022-10-04" @default.
- W4300921161 creator A5065864090 @default.
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- W4300921161 date "2018-06-06" @default.
- W4300921161 modified "2023-09-23" @default.
- W4300921161 title "Characterizations of biselective operations" @default.
- W4300921161 doi "https://doi.org/10.48550/arxiv.1806.02073" @default.
- W4300921161 hasPublicationYear "2018" @default.
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