Differential tensor algebras and their module categories

t-algebras and differentials.
Ditalgebras and modules.
Bocses, ditalgebras and modules.
Layered ditalgebras.
Triangular ditalgebras.
Exact structures in A-Mod.
Almost split conflations in A-Mod.
Quotient ditalgebras.
Frames and Roiter ditalgebras.
Product of ditalgebras.
Hom-tensor relations and dual basis.
Admissible modules.
Complete admissible modules.
Bimodule filtrations.
Free bimodule filtrations and free ditalgebras.
AX is a Roiter ditalgebra, for suitable X.
Examples and applications.
The exact categories P, P1 and -Mod.
Passage from ditalgebras.
Scalar extension and ditalgebras.
Bimodules.
Parametrizing bimodules and wildness.
Nested and seminested ditalgebras.
Critical ditalgebras.
Reduction functors.
Modules over non-wild ditalgebras.
Tameness and wildness.
Modules over non-wild ditalgebras revisited.
Modules over non-wild algebras.
Absolute wildness.
Generic modules and tameness.
Almost split sequences and tameness.
Varieties of modules over ditalgebras.
Ditalgebras of partially ordered sets.
Further examples of wild ditalgebras.
Answers to selected exercises.
A detailed account of main results in the theory of differential tensor algebras.