A STUDY OF CATEGORICAL MODEL OF MULTISETS

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dc.contributor.authorIBRAHIM, ISAH,
dc.contributor.authorAHMED
dc.date.accessioned2014-02-21T09:13:00Z
dc.date.available2014-02-21T09:13:00Z
dc.date.issued2012-11
dc.descriptionDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractABSTRACT We present a crisp and critical survey of the development of the theory of categories which formed the content of our paper titled, A Survey of the Development of the Theory of Categories, published at International Journal of Innovation Management and Technology, vol.3, No. 2, (2012) pp. 156-159. It is observed that the theory originally arose in mathematics out of the need of formalism to describe the passage from one type of mathematical structure to another, and later became an autonomous field of research that has now occupied a central position in most of the branches of mathematics, some areas of theoretical computer science and mathematical physics. We emphasized that, basically the theory of categories studies structures in terms of the mappings between them. This as well applies to categories themselves taken as structures with functors as the mappings between them. Furthermore, the mappings in categories can be applied to functors to form mappings between the functors called Natural transformations. We show that multisets determine a category denoted Mul. Fundamental notions of categories of sets are defined in multiset context. Finally, we develop and prove various propositions in Mul.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/2256
dc.language.isoenen_US
dc.subjectSTUDY,en_US
dc.subjectCATEGORICAL,en_US
dc.subjectMODEL,en_US
dc.subjectMULTISETSen_US
dc.titleA STUDY OF CATEGORICAL MODEL OF MULTISETSen_US
dc.typeThesisen_US
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