Exploring Pointed Sets and their Role in the Category of Pointed F-Sets: A Study on Kernels in the Category F-Sets

Authors

  • Yogendra Prasad Shah Department of Mathematics, Patan Multiple Campus, T.U., Lalitpur

DOI:

https://doi.org/10.3126/jpd.v5i1.67692

Keywords:

Pointed sets, algebraic structures, category theory, pointed F-sets, kernels, morphisms

Abstract

This paper delves into the realm of pointed sets and their significance within the framework of algebraic structures, particularly focusing on their role in the category of pointed F-sets. Pointed sets, characterized by a single nullary operation identifying a base point, serve as fundamental components in algebraic reasoning, with applications in various mathematical domains. The category of pointed F-sets, comprising pointed sets as objects and pointed F-associations as morphisms, offers a rich ground for exploring the behavior of specialized functions. Central to our investigation is the demonstration of kernels within the category F-sets, elucidating the foundational properties and structural insights underlying pointed sets and their associations.

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Author Biography

Yogendra Prasad Shah, Department of Mathematics, Patan Multiple Campus, T.U., Lalitpur

Assistant Professor 

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Published

2024-07-08

How to Cite

Shah, Y. P. (2024). Exploring Pointed Sets and their Role in the Category of Pointed F-Sets: A Study on Kernels in the Category F-Sets. Journal of Population and Development, 5(1), 203–206. https://doi.org/10.3126/jpd.v5i1.67692

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Section

Articles