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Differential Tensor Algebras and Their Module Categories

R. Bautista, L. Salmerón, and R. Zuazua
Publisher: 
Cambridge University Press
Publication Date: 
2009
Number of Pages: 
452
Format: 
Paperback
Series: 
London Mathematical Society Lecture Note Series 362
Price: 
78.00
ISBN: 
9780521757683
Category: 
Monograph
We do not plan to review this book.

Preface; 1. t-algebras and differentials; 2. Ditalgebras and modules; 3. Bocses, ditalgebras and modules; 4. Layered ditalgebras; 5. Triangular ditalgebras; 6. Exact structures in A-Mod; 7. Almost split conflations in A-Mod; 8. Quotient ditalgebras; 9. Frames and Roiter ditalgebras; 10. Product of ditalgebras; 11. Hom-tensor relations and dual basis; 12. Admissible modules; 13. Complete admissible modules; 14. Bimodule ltrations and triangular admissible modules; 15. Free bimodule ltrations and free ditalgebras; 16. AX is a Roiter ditalgebra, for suitable X; 17. Examples and applications; 18. The exact categories P(Λ), P1(Λ) and Λ-Mod; 19. Passage from ditalgebras to finite dimensional algebras; 20. Scalar extension and ditalgebras; 21. Bimodules; 22. Parametrizing bimodules and wildness; 23. Nested and seminested ditalgebras; 24. Critical ditalgebras; 25. Reduction functors; 26. Modules over non-wild ditalgebras; 27. Tameness and wildness; 28. Modules over non-wild ditalgebras revisited; 29. Modules over non-wild algebras; 30. Absolute wildness; 31. Generic modules and tameness; 32. Almost split sequences and tameness; 33. Varieties of modules over ditalgebras; 34. Ditalgebras of partially ordered sets; 35. Further examples of wild ditalgebras; 36. Answers to selected exercises; References; Index.

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