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Direct Sum Decomposition of Groups
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Thaheem, A. B. – International Journal of Mathematical Education in Science and Technology, 2005
Direct sum decomposition of Abelian groups appears in almost all textbooks on algebra for undergraduate students. This concept plays an important role in group theory. One simple example of this decomposition is obtained by using the kernel and range of a projection map on an Abelian group. The aim in this pedagogical note is to establish a direct…
Descriptors: College Mathematics, Mathematical Formulas, Mathematical Concepts, Geometry