On the uniqueness of the decomposition of finite abelian groups: A simple proof

This thesis presents a simple proof of the uniqueness of the decomposition of finite abelian groups. Finite abelian groups, which are also known as finite commutative groups, are discussed in basic abstract algebra courses with some depth. All the theorems stated in this paper are found in F.S. Cate...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Ramchandani, Divya H., Silva, Kristina B.
التنسيق: text
اللغة:English
منشور في: Animo Repository 2007
الموضوعات:
الوصول للمادة أونلاين:https://animorepository.dlsu.edu.ph/etd_bachelors/17464
الوسوم: إضافة وسم
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الوصف
الملخص:This thesis presents a simple proof of the uniqueness of the decomposition of finite abelian groups. Finite abelian groups, which are also known as finite commutative groups, are discussed in basic abstract algebra courses with some depth. All the theorems stated in this paper are found in F.S. Cater's paper entitled Uniqueness of the Decomposition of Finite Abelian Groups: A Simple Proof . The researchers elaborated the definitions, concepts, and examples needed to have a further understanding of the concepts discussed in this paper.