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Titlebook: Algebra; A Teaching and Sourc Ernest Shult,David Surowski Textbook 2015 Springer International Publishing Switzerland 2015 Fields.Groups Ri

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Principal Ideal Domains and Their Modules,complete classification of finitely generated abelian groups. In the case of the polynomial ring one obtains a complete analysis of a linear transformation of a finite-dimensional vector space. The rational canonical form, and, by enlarging the field, the Jordan form, emerge from these invariants.
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Basics, numbers is set forth so that it can be used throughout the book without further development. (Proofs of the Schröder-Bernstein Theorem and the fact that . appear in this discussion.) Clearly this chapter is only about everyone being on the same page at the start.
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