Decomposition and Dimension in Module Categories

by Jonathan S. Golan

Overview

This book examines the notions of dimension and decomposition for module categories. It discusses some basic properties of quasidecomposition functions and the complete lattice of all quasidecomposition functions taking values in a fixed given lattice.

Product Details

ISBN-13:	9781000153279
Publisher:	CRC Press
Publication date:	09/10/2020
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	200
File size:	1 MB

About the Author

Jonathan S. Golan

Table of Contents

1. Quasidecomposition functions 2. Assassin functions 3. Radical functions 4. Associated ideal functions 5. The function 6. Coirreducible modules 7. Decompositions 8. Quasidimension functions 9. The function 10. Relations between quasidecomposition functions and quasidimension functions 11. Linearization of quasidecomposition and quasidimension functions 12. Gabriel dimension 13. Torsion-theoretic Krull dimension 14. GRK-dimension 15. Classical Krull dimension