02229nam 2200481 450 99646656590331620230420165223.0981-336-326-6(CKB)4100000011781423(MiAaPQ)EBC6510185(Au-PeEL)EBL6510185(OCoLC)1240209019(PPN)25385671X(EXLCZ)99410000001178142320211008d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAlgebra 3 homological algebra and its applications /Ramji LalSingapore :Springer,[2021]©20211 online resource (310 pages)Infosys Science Foundation series981-336-325-8 Includes bibliographical references and index.Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Homological Algebra 1 -- 1.1 Categories and Functors -- 1.2 Abelian Categories -- 1.3 Category of Chain Complexes and Homology -- 1.4 Extensions and the Functor EXT -- 2 Homological Algebra 2, Derived Functors -- 2.1 Resolutions and Extensions -- 2.2 Tensor and Tor Functors -- 2.3 Abstract Theory of Derived Functors -- 2.4 Kunneth Formula -- 2.5 Spectral Sequences -- 3 Homological Algebra 3: Examples and Applications -- 3.1 Polyhedrons and Simplicial Homology -- 3.2 Applications -- 3.3 Co-homology of Groups -- 3.4 Calculus and Co-homology -- 4 Sheaf Co-homology and Its Applications -- 4.1 Presheaves and Sheaves -- 4.2 Sheaf Co-homology and ech Co-homology -- 4.3 Algebraic Varieties -- 4.4 Schemes -- 4.5 Weil Conjectures and l-adic Co-homology -- Appendix Bibliography -- -- Index.Infosys Science Foundation series.Algebra, HomologicalÀlgebra homològicathubLlibres electrònicsthubAlgebra, Homological.Àlgebra homològica512.55Lal Ramji767330MiAaPQMiAaPQMiAaPQBOOK996466565903316Algebra 31902338UNISA