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All Journal Fibusi (Jurnal Online Fisika) Edumatsains Chemistry Indonesian Journal of Chemical Research Jurnal Teladan: Jurnal Ilmu Pendidikan dan Pembelajaran JOURNAL INFORMATICS, SCIENCE & TECHNOLOGY Biopendix: Jurnal Biologi, Pendidikan dan Terapan Jurnal PkM MIFTEK Jurnal Algoritma Innovative: Journal Of Social Science Research
Siti Nuraisah, Siti
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Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Economics, Econometrics & Finance Education Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Physics Public Health Social Sciences Other

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Journal : Edumatsains

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Analysis of Category Theory as a General Framework for Algebraic and Applied Structures Nuraisah, Siti; Harahap, Amin; Harahap, Nurlina
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 4 (2026): April
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i4.7998

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 aims to provide a comprehensive discussion of the role of category theory as a universal language that not only explains relationships among mathematical objects, but also serves as a methodological foundation for computer science, logic, and data science. This study employs a qualitative approach through a literature review by examining key concepts such as objects, morphisms, functors, adjunctions, and monads, as well as their roles in bridging abstract theory and practical applications. 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.
Co-Authors Adela, Yoga Agus Supriadi Aisyah, Risa ANNISAH KURNIATI Aziz, Rafi Nurkholiq Banjar, Firman Bastian, Putri M A Cucu Sumartini, Lilis Depriwana Rahmi Destia, Triyanda Putra Didik Setiyadi Fadilah, Luthfi Aqshol Febis, Delsa Tria Gunawan, Sendi Febrian Hamid Pelupessy, Iskandar Abd Harahap, Amin Harahap, Nurlina Harlini, Meti Hendriyana Hendriyana Ilyasa, Salya Irsan Irsan Ismail, Irwan Kabau, Widyawati Kalimat, Arul Budi Koto, Saifuddin Mangesa, Rosita Maulana, Ilham Ahmad Mimin Iryanti Moningka, Vincentius F D Muntiani, Via Nadila, Ai Salsa Nisaa, Istiqoomatun Nugraha, Mochammad Suva Padini, Dewi Sri Purkon, Haikal Muhammad Rinda Cahyana Sangur, Kristin Setiawan, Muhamad Yogi Setyadi, Didik Subarsyah Subarsyah Suci Yuniati Uyun, Syifa Qurrotul Yusthinus T. Male