A Path to Advanced Algebra

Volume I

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	FrontmatterDownload pp. i–iv
	ContentsDownload pp. ix–xii
1	Introductionpp. 1–10
2	Warm-up I: Matrices with ring entriespp. 13–31
3	Modulespp. 33–66
4	Rings and modulespp. 67–79
5	Noetherianitypp. 81–88
6	Matrices and modules over a PIDpp. 89–110
7	Warm-up II: Dualitypp. 113–125
8	Similarity in $M_{n} (k)$ pp. 127–140
9	The irreducibility toolboxpp. 141–156
10	Primary decomposition in PIDpp. 157–167
11	Semisimplicitypp. 169–184
12	Simultaneous reductionpp. 185–193
13	Turing's matrix conditioningpp. 197–201
14	Topology of similarity classes $^{⋆}$ pp. 203–217
15	Eigenvaluespp. 219–238
	Leitfadenp. 239
	Indexpp. 241–243
	Referencespp. 245–246