Research Article
On Cyclically Ordered Groups and Theirs Direct Product
@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
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.
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