ENGLISH

Matrices over commutative rings

By William Brown

Book information

Publisher
Dekker
Year
1993
ISBN
0824787552
Language
english
Format
DJVU
Filesize
2 MB (2282372 bytes)
Pages
\289
Topic
Mathematics
Time added
2021-11-05 12:53:23

Description

Cover Title page Preface 1. Modules Over Commutative Rings 2. Matrices with Entries from a Commutative Ring 3. The Ideals in M_{nxn}(R) 4. The Rank of a Matrix 5. Linear Equations 6. Minimal Primes and the Radical of an Ideal 7. The Cayley-Hamilton Theorem 8. Resultants 9. Zero Divisors in M_{nxn}(R) 10. Finitely Generated Modules and Local Rings 11. Primary Decompositions in Noetherian Rings 12. Tensor Products 13. Fitting Ideals 14. Principal Ideal Rings 15. The Smith Normal Form of a Matrix 16. The Frobenius Normal Form of a Matrix 17. Eigenvalues and Diagonalizing a Matrix Appendix A. Partially Ordered Sets and Zorn's Lemma Appendix B. The Jacobson Radical Appendix C. Elimination Theory and Bezout's Theorem Appendix D. The Hilbert-Burch Theorem Notation References Index

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