LEADER 02231nam 2200481 450 001 9910483882903321 005 20230420165223.0 010 $a981-336-326-6 035 $a(CKB)4100000011781423 035 $a(MiAaPQ)EBC6510185 035 $a(Au-PeEL)EBL6510185 035 $a(OCoLC)1240209019 035 $a(PPN)25385671X 035 $a(EXLCZ)994100000011781423 100 $a20211008d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgebra 3 $ehomological algebra and its applications /$fRamji Lal 210 1$aSingapore :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (310 pages) 225 1 $aInfosys Science Foundation series 311 $a981-336-325-8 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- About the Author -- Notations -- 1 Homological Algebra 1 -- 1.1 Categories and Functors -- 1.2 Abelian Categories -- 1.3 Category of Chain Complexes and Homology -- 1.4 Extensions and the Functor EXT -- 2 Homological Algebra 2, Derived Functors -- 2.1 Resolutions and Extensions -- 2.2 Tensor and Tor Functors -- 2.3 Abstract Theory of Derived Functors -- 2.4 Kunneth Formula -- 2.5 Spectral Sequences -- 3 Homological Algebra 3: Examples and Applications -- 3.1 Polyhedrons and Simplicial Homology -- 3.2 Applications -- 3.3 Co-homology of Groups -- 3.4 Calculus and Co-homology -- 4 Sheaf Co-homology and Its Applications -- 4.1 Presheaves and Sheaves -- 4.2 Sheaf Co-homology and ech Co-homology -- 4.3 Algebraic Varieties -- 4.4 Schemes -- 4.5 Weil Conjectures and l-adic Co-homology -- Appendix Bibliography -- -- Index. 410 0$aInfosys Science Foundation series. 606 $aAlgebra, Homological 606 $aÀlgebra homològica$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebra, Homological. 615 7$aÀlgebra homològica 676 $a512.55 700 $aLal$b Ramji$0767330 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483882903321 996 $aAlgebra 3$91902338 997 $aUNINA