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Homological Algebra I (PDF 85P)
Covered topics are: General manipulations of complexes, More on Koszul complexes, General manipulations applied to projective resolutions, Tor, Regular rings, review of Krull dimension, Regular sequences and Tor, Cohen–Macaulay rings and modules, Injective and divisible modules, Injective resolutions, A definition of Ext using injective resolutions, Duality and injective hulls, Gorenstein rings, Bass numbers.
Author(s): Irena Swanson
85 Pages 
Homological Algebra on Graded Posets
This book contains below topics, Notation and Preliminaries, A spectral sequence, Higher direct limits, Higher inverse limits, Cohomology, Application to Webbs conjecture, Application to the homotopy colimit.
Author(s): Antonio Diaz Ramos
130 Pages
Homological algebra in characteristic one
This note contains below topics, Bmodules and algebraic lattices, The category Bmod of Bmodules and the comonad, The Kleisli category Bmod2, The EilenbergMoore category Bmods of the comonad, The category Bmods and the null morphisms, Analogy with operators, Homological algebra in a homological category, The cokernel of the diagonal.
Author(s): Alain Connes, Caterina Consani
107 Pages
Homological Algebra for Commutative Monoids
This book contains below topics, The commutative algebra of monoids, Homological algebra, Complexes and computation, Geometry of monoids.
Author(s): Jaret Flores
119 Pages
This note covers universal constructions, Tensor products, Injective, Projective and flat module, Homology, Resolutions, Ext and Tor, Depth, Chain maps and induced maps on Ext and tor, Ext, Tor and homological dimensions, Long exact sequences, Depth and homological dimensions, Regular local rings.
Author(s): Sean Sather Wagstaf
233 Pages