ANALYSIS OF CATEGORY THEORY AS A GENERAL FRAMEWORK FOR ALGEBRAIC AND APPLIED STRUCTURES

SITI NURAISAH, NPM 2205100018 (2026) ANALYSIS OF CATEGORY THEORY AS A GENERAL FRAMEWORK FOR ALGEBRAIC AND APPLIED STRUCTURES. Tugas_Akhir(Artikel) Edumatsains Jurnal Pendidikan Matematika Dan Sains, 10 (4). pp. 46-53. ISSN 2527-7235(e-ISSN)

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Abstract

Category theory is one of the important frameworks in modern mathematics because it is able to unify various algebraic concepts and structures. In addition, this theory has been widely applied in many other fields. This article examines its dual role: as a universal language for connecting mathematical objects and morphisms, and as a methodological foundation for applications in computer science, logic, and data science. The study employs a qualitative literature review, using content analysis of key categorical concepts objects, morphisms, functors, adjunctions, and monads—and applies source triangulation by systematically comparing international theoretical perspectives with national studies in mathematics education. The results of the literature review indicate that category theory is capable of simplifying the complexity of algebraic structures through a higher level of abstraction. Through this approach, different branches of mathematics that were previously fragmented can be interconnected. Furthermore, category theory has been widely used in functional programming, the development of logic-based systems, and data flow modeling, making it highly relevant in the digital era. The research approach involves literature review, content analysis, and triangulation to ensure data validity, with the implication that category theory can enrich teaching and research in the field of algebra. Keywords: Category Theory, Algebraic Structures, Functor, Adjunction, Monad, Qualitative Applications

Item Type:	Article
Uncontrolled Keywords:	Category Theory, Algebraic Structures, Functor, Adjunction, Monad, Qualitative Applications
Subjects:	L Education > L Education (General) Q Science > QA Mathematics
Divisions:	Fakultas keguruan dan Ilmu Pendidikan > Pendidikan Matematika
Depositing User:	Unnamed user with email repository@ulb.ac.id
Date Deposited:	25 May 2026 03:33
Last Modified:	25 May 2026 03:33
URI:	http://repository.ulb.ac.id/id/eprint/2394

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