About: Homological methods

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Homological methods Homological algebra
skos:inScheme	MSC 2010
broader concept	Associative rings and algebras
narrower concept	Syzygies, resolutions, complexes Homological dimension Grothendieck groups, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory, etc. Homological functors on modules (Tor, Ext, etc.) Derived categories (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) Differential graded algebras and applications von Neumann regular rings and generalizations Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) None of the above, but in MSC2010 section 16Exx
skos:prefLabel	Homological methods 同调方法(交换环, 见13Dxx; 一般范畴, 见18Gxx)
skos:altLabel	Homological methods {For commutative rings see 13Dxx; for general categories, see 18Gxx}
http://msc2010.org...#seeConditionally	Homological methods Homological algebra
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/16Exx-to-13Dxx-seeFor http://msc2010.org/resources/MSC/2010/16Exx-to-18Gxx-seeFor
skos:closeMatch	from MSC1991 value of: Homological methods and results, [See also 18Gxx] from MSC2000 value of: Homological methods {For commutative rings, see 13Dxx; for general categories, see 18Gxx}
skos:notation	16Exx
skos:note	For commutative rings, see 13Dxx; for general categories, see 18Gxx.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.55
skos:semanticRelation	Homological methods Homological algebra
is rdfs:seeAlso of	Homological methods Category theory; homological algebra Homological algebra
is broader concept of	Syzygies, resolutions, complexes Homological dimension Grothendieck groups, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory, etc. Homological functors on modules (Tor, Ext, etc.) Derived categories (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) Differential graded algebras and applications von Neumann regular rings and generalizations Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) None of the above, but in MSC2010 section 16Exx
is narrower concept of	Associative rings and algebras
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/16Exx-to-13Dxx-seeFor http://msc2010.org/resources/MSC/2010/16Exx-to-18Gxx-seeFor
is http://msc2010.org...msc2010#forTarget of	http://msc2010.org/resources/MSC/2010/13Dxx-to-16Exx-seeFor http://msc2010.org/resources/MSC/2010/18-XX-to-16Exx-seeFor
is http://msc2010.org...0/msc2010#seeAlso of	Homological algebra
is http://msc2010.org...#seeConditionally of	Homological methods Category theory; homological algebra
is skos:semanticRelation of	Homological methods Category theory; homological algebra Homological algebra

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