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Decomposition and Dimension in Module Categories: Lecture Notes in Pure and Applied Mathematics

Autor Jonathan S. Golan
en Limba Engleză Hardback – 27 iul 2017
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.
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Specificații

ISBN-13: 9781138401723
ISBN-10: 1138401722
Pagini: 200
Dimensiuni: 178 x 254 mm
Greutate: 0.53 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Lecture Notes in Pure and Applied Mathematics


Public țintă

Professional

Cuprins

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

Descriere

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.