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Diff — Abelian category

Revision #956 → #978 · back to history

addedAbelian category (informal)512920f48b16
addedCategory of abelian groups Ab92eefc635286
addedAbelian category (axiomatic)7ee4c44b21be
addedPreadditive categorye7ed407ea8bb
addedAdditive categorydc84601b88cc
addedPreabelian categorybe328910a05a
addedAbelian category (piecemeal)511030b6447c
addedFinitely generated and finite abelian groups3ba5509d5306
addedModules over a ring35aef5167577
addedMitchell's embedding theoreme7ef6576b35b
addedFinitely generated modules over noetherian ringde58000dadf0
addedVector spaces over a field220b6e33d426
addedVector bundles (non-example)1a9732dce934
addedSheaves of abelian groups8d28c05d8543
addedFunctor category into an abelian categorye4f5fe7ee059
addedGrothendieck axioms AB3, AB4, AB5a36003b3a99f
addedDual axioms AB3*fd4f2ee06ba7
addedAxiom AB4*6a29ee96bafd
addedAxiom AB5*44e7b00cda9d
addedAxioms AB1 and AB27d6a303d423e
addedAxiom AB61e01c2476310
addedAxiom AB6*7991180a7a43
addedZero morphismbf7d3bbaff4f
addedEpi-mono factorization1b7cdbcd8585
addedSubobjects form a bounded lattice35fd3e030020
addedAbelian category as module over f.g. abelian groups51be3c913d42
addedFlatness in an abelian categoryb0e39ec75d5e
addedFive lemma and snake lemma in abelian categories5560f4388597
addedSemi-simple abelian categoryc5c687a924a3
addedModule category semi-simple iff R semisimplede6deaa0e419
addedVector spaces are semi-simple1cc59be38220
addedMaschke's theorem0adc6c4dacfc
addedCoherent sheaves on a Noetherian scheme3c50ddcdbee7
addedRepresentations of a Lie group (non-semi-simple)3629f7d2eff7
addedExact subcategory6d87b7cd6059
addedAbelian subcategorybcbf8c356141
addedThick subcategory889dec8638ba
addedTopologizing subcategory6c59b344e6ca
addedSerre subcategorya1fcf9ef4a6b
addedLocalizing subcategory45c13f0f35c6
addedWide subcategoryf1411081b1c4
addedAbelian full subcategory whose inclusion is not exact90ecb3b47344