Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia

Research Article

On Cyclically Ordered Groups and Theirs Direct Product

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  • @INPROCEEDINGS{10.4108/eai.12-10-2019.2296397,
    author={Sumanang Muhtar Gozali and Rizky  Rosjanuardi and Isnie  Yusnitha},
    title={On Cyclically Ordered Groups and Theirs Direct Product},
    proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia},
    publisher={EAI},
    proceedings_a={MSCEIS},
    year={2020},
    month={7},
    keywords={cyclic order cyclically ordered group direct product},
    doi={10.4108/eai.12-10-2019.2296397}
}
  • Sumanang Muhtar Gozali
    Rizky Rosjanuardi
    Isnie Yusnitha
    Year: 2020
    On Cyclically Ordered Groups and Theirs Direct Product
    MSCEIS
    EAI
    DOI: 10.4108/eai.12-10-2019.2296397
Sumanang Muhtar Gozali1,*, Rizky Rosjanuardi1, Isnie Yusnitha1
  • 1: Departemen Pendidikan Matematika, FPMIPA Universitas Pendidikan Indonesia Jl. Dr. Setiabudhi 229 Bandung 40154, Indonesia
*Contact email: gozali@upi.edu

Abstract

For any groups A and B, we can construct the direct product in a natural way. In many cases, the product together with suitable maps are very useful as a tool to observe and identify many important properties related to both groups A and B. In this paper we review the definition, examples, and main properties of cyclically ordered groups. For two cyclically ordered groups A and B, we consider the product whether could be viewed as a new cyclically ordered group. We give some conditions for the direct product to be a cyclically ordered group.

Keywords
cyclic order cyclically ordered group direct product
Published
2020-07-30
Publisher
EAI
http://dx.doi.org/10.4108/eai.12-10-2019.2296397
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