Similarity of integer matrices / David Husert. Paderborn, 2017
Inhalt
- Introduction
- I Semisimple Matrices
- Module-Theoretic Approach I
- Full Modules over Orders
- The Theorem of Latimer and MacDuffee
- Equivalence over Maximal Orders
- Matrix Orders
- Units of Matrix Orders
- The Conductor
- Some Remarks on the Number of Module Classes
- Algorithms
- Localizations of Orders
- Basic Properties
- Decomposition of Quotient Rings
- Characterization of Units
- Making Ideals Coprime to the Conductor
- Algorithms
- Principal Ideal Testing
- II Nilpotent Matrices