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- W4295111794 abstract "In this article we develop the concepts of $sigma$-relation and $sigma$-function, following the same steps as in Set Theory. First we define the concept of ordered pair and then we build the Cartesian Product of $sigma$-sets so that we can define the concepts of $sigma$-relation and $sigma$-function. Now, as in $sigma$-Set Theory there exist the concepts of $sigma$-antielement and $sigma$-antiset, we can build the new concepts of $sigma$-antifunction, antidentity and antinverse. Finally, in the case that a $sigma$-function $f:Ato B$ is bijective and there exist $A^{st}$ and $B^{st}$ $sigma$-antiset of $A$ and $B$, we get 16 different $sigma$-functions which are related in a diagram of $sigma$-functions." @default.
- W4295111794 created "2022-09-10" @default.
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- W4295111794 date "2009-07-06" @default.
- W4295111794 modified "2023-10-18" @default.
- W4295111794 title "$sigma$-Relations, $sigma$-functions and $sigma$-antifunctions" @default.
- W4295111794 doi "https://doi.org/10.48550/arxiv.0907.0820" @default.
- W4295111794 hasPublicationYear "2009" @default.
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