A course in homological algebra [Peter Stammbach, Urs, Hilton] on *FREE* shipping on qualifying offers. This classic book provides a broad introduction to homological algebra, A course in homological algebra. Front Cover. Peter John Hilton, Urs Stammbach. In this chapter we are largely influenced in our choice of material by the demands of the rest of the book. However, we take the view that this is.
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In homoloical new edition of this broad introduction to the field, the authors address a number of select topics and describe their applications, illustrating the range and depth of their developments. A comprehensive set of exercises is included.
A Course in Homological Algebra – P.J. Hilton, U. Stammbach – Google Books
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A Course in Homological Algebra : P. J. Hilton :
Quantum Theory for Mathematicians Brian C. Topology and Geometry Glen E. Table of contents I.
The Group of Homomorphisms. Free and Projective Modules. Projective Modules over a Principal Ideal Domain. Products and Coproducts; Universal Constructions. Universal Constructions Continued ; Pull-backs and Push-outs.
Adjoint Functors and Universal Constructions. Projective, Injective, and Free Objects. Computation of some Ext-Groups.
Another Characterization of Derived Functors. The Dual Kunneth Theorem.
Applications of the Kunneth Formulas. Definition of Co Homology. H1, H1 with Trivial Coefficient Modules. A Short Exact Sequence. The 5-Term Exact Homoloigcal. Relative Projectives and Relative Injectives. The Co Homology of a Coproduct. Cohomology of Lie Algebras. Lie Algebras and their Universal Enveloping Algebra. Definition of Cohomology; H0, H1.
A Course in Homological Algebra
A Resolution of the Ground Field K. The two Whitehead Lemmas. Exact Couples and Spectral Sequences. The Ladder of an Exact Couple.
Rees Systems and Filtered Complexes. The Limit of a Rees System. The Grothendieck Spectral Sequence. Projective Classes of Epimorphisms. The Adjoint Theorem and Examples. Kan Extensions and Homology. Homology of Small Categories, Spectral Sequences.
Some Cohrse and Recent Developments. Homological Algebra and Algebraic Topology. Finiteness Conditions on Groups. Stable and Derived Categories. Book ratings by Goodreads.
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