Modules

R. Kochendörffer
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R. Kochendörffer: University of Dortmund

Chapter 9 in Introduction to Algebra, 1972, pp 285-335 from Springer

Abstract: Abstract Modules over a ring with unit element have been defined in § 3.13. In the present chapter we study modules over principal ideal rings. The results yield a classification of finitely generated abelian groups and of linear mappings of vector spaces. Another application concerns the arithmetic in algebraic number fields.

Date: 1972
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DOI: 10.1007/978-94-009-8179-9_9

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