KnE Life Sciences

ISSN: 2413-0877

The latest conference proceedings on life sciences, medicine and pharmacology.

Generalization of Goursat's Theorem for Subrings of Direct Products of n Rings

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

Authors:

Muhsang Sudadama Lieko LiedoktoEmail: N/A
Affiliation: Department of Mathematics, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia
Biography:

Hery SusantoEmail: hery.susanto.fmipa@um.ac.id
Affiliation: Department of Mathematics, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia
Biography:

I Made SulandraEmail: N/A
Affiliation: Department of Mathematics, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia
Biography:

Muhsang Sudadama Lieko Liedokto

Hery Susanto - hery.susanto.fmipa@um.ac.id

I Made Sulandra

Abstract:

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

References:

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