Published date: Mar 27 2024

Journal Title: KnE Life Sciences

Issue title: International Conference On Mathematics And Science Education (ICMScE 2022): Life Sciences

Pages: 66–74

DOI: 10.18502/kls.v8i1.15397

Muhsang Sudadama Lieko LiedoktoDepartment of Mathematics, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia

Hery Susantohery.susanto.fmipa@um.ac.idDepartment of Mathematics, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia

I Made SulandraDepartment of Mathematics, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia

Bauer et al. describe Goursat’s theorem, representing the characteristics of subgroups of a direct product of two or more groups. In this paper, we expand into a ring structure that describes the characteristics of subrings of a direct product of rings. This research method is to analogize the evidence by Bauer et al. in the group for generalization. In our main results, every subring of the direct product of rings is determined by ring epimorphism between the ring and factor ring.

Keywords: Goursat’s theorem, subrings, rings

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