Decomposition and Dimension in Module Categories

Jonathan S. Golan (Autor)

Buch | Hardcover

200 Seiten

2017
CRC Press (Verlag)
978-1-138-40172-3 (ISBN)

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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.

Jonathan S. Golan

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

Erscheinungsdatum	19.12.2017
Reihe/Serie	Lecture Notes in Pure and Applied Mathematics
Verlagsort	London
Sprache	englisch
Maße	178 x 254 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	1-138-40172-2 / 1138401722
ISBN-13	978-1-138-40172-3 / 9781138401723
Zustand	Neuware