Titlebook: A Course in Homological Algebra; P. J. Hilton,U. Stammbach Textbook 19711st edition Springer Science+Business Media New York 1971 Category

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https://doi.org/10.1007/978-1-4684-9936-0Category theory; Cohomology; Homological algebra; Lie; Topology; algebra; mathematics

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Springer Science+Business Media New York 1971

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African Security Politics RedefinedThe algebraic categories with which we shall be principally concerned in this book are categories of modules over a fixed (unitary) ring . and module-homomorphisms. Thus we devote this chapter to a preliminary discussion of .modules.

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https://doi.org/10.1007/978-3-031-57394-1ct group . over the integers. This will lead us to a definition of cohomology groups ... and homology groups ..., . ≧ 0, where . is a left and . a right .-module (we speak of “.-modules” instead of “ℤ.-modules”). In developing the theory we shall attempt to deduce as much as possible from general pr

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Labour: Obstacles and Opportunitiesuniversal enveloping algebra .g and define cohomology groups ..(g .) for every (left) g-module ., by regarding . as a .g-module. In Sections 1 through 4 we will proceed in a way parallel to that adopted in Chapter VI in presenting the cohomology theory of groups. We therefore allow ourselves in thos

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