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Home > Volume 1, Number 2, December 2018 > Mahmudi
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Asep Rusyana
Department of Statistics, Faculty of Mathematics and Natural Sciences, Syiah Kuala University
Jalan Syech Abdurrauf No.3, Kopelma Darussalam, Banda Aceh 23111, Aceh, Indonesia
Email: jda@unsyiah.ac.id
Mobile Phone: +6281360635965

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Suatu Catatan tentang Subgrup Normal dan Ideal

Mahmudi Mahmudi

Abstract

Grup Bagian Normal (subgrup normal) memainkan peran penting dalam aljabar grup. Grup bagian  di  didefinisikan normal jika dan hanya jika koset kiri  di  sama dengan koset kanan  di  Penelitian ini merupakan kajian literatur dan membahas detail alasan penamaan subgrup normal, terutama terkait dengan pembentukan grup faktor. Lebih lanjut, dibahas juga dasar pendefinisian ideal pada pembentukan ring (gelanggang) faktor.

 

Normal subgroup plays an important role in group algebra. A subgroup  of a group  is called a normal subgroup of  if for all  This research is literature review and discuss the reason for subgroup to be defined a normal. Furthermore, we also discuss the definition of an ideal that used to form a ring factor.

 Keywords

Normal subgroup; Left coset; Right coset; Group factor; Ideal; Ring factor

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References

Fraleigh, J.B. 2002. A First Course in Abstract Algebra, 7th. Pearson Education, London.

Galian, J.A. 2017. Contemporary Abstract Algebra, 9th ed. Cengage Learning, Boston, USA.

Gilbert, L. dan Gilbert, J. 2015. Elements of Modern Algebra, 8th. Cengage Learning, Stamford, USA.

Gilbert, W.J. dan Nicholson, W. K. 2004. Modern Algebra With Aplication, 2nd. John Wiley & Son, Inc, New Jersey.

Hungerford, T. W. 2014. Abstract Algebra: An Introduction, 3th. Cengage Learning, Boston, USA.

Judson, T.W. 2009. Abstract Algebra: Theory and Applications. Abstract.ups.edu.

DOI: https://doi.org/10.24815/jda.v1i2.12522

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About The Author

Mahmudi Mahmudi
Jurusan Matematika FMIPA Universitas Syiah Kuala
Indonesia

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