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Informationen zum Autor R. Bautista is a Professor in the Institute of Mathematics at the National University of Mexico, Morelia. Klappentext A detailed account of main results in the theory of differential tensor algebras. Zusammenfassung This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules. The authors introduce new findings and proofs as well as providing a fresh perspective on established results. Inhaltsverzeichnis 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(¿), P1(¿) and ¿-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.
