On an analogue of completely multiplicative functions.
Haukkanen, P., Ruokonen, P. (1997)
Portugaliae Mathematica
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Haukkanen, P., Ruokonen, P. (1997)
Portugaliae Mathematica
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In the first part of this article we formalize the concepts of terminal and initial object, categorical product [4] and natural transformation within a free-object category [1]. In particular, we show that this definition of natural transformation is equivalent to the standard definition [13]. Then we introduce the exponential object using its universal property and we show the isomorphism between the exponential object of categories and the functor category [12].
Pabhapote, Nittiya, Laohakosol, Vichian (2010)
International Journal of Mathematics and Mathematical Sciences
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