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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 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
Constructive Homological Algebra and Applications
This note contains below topics, Standard Homological Algebra, Spectral sequences, Effective homology, Constructive Homology and Commutative Algebra, Effective homology of Koszul complexes, Simplicial sets, Serre spectral sequence, The EilenbergMoore spectral sequence, The claimed Postnikov invariants This section is a rough copy of the paper RBSR8 which explains some redundancies and also some gaps with respect to the previous sections in spite of these defects we think a reader having reached this point of the text could be interested by this section making obvious a surrealist error in the standard terminology of Algebraic Topology.
Author(s): Julio Rubio, Francis Sergeraert
154 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
