An Entity of Type : yago:MathematicalRelation113783581, within Data Space : dbpedia.org associated with source document(s)

In mathematics, the term “graded” has a number of meanings, mostly related: In abstract algebra, it refers to a family of concepts: * An algebraic structure is said to be -graded for an index set if it has a gradation or grading, i.e. a decomposition into a direct sum of structures; the elements of are said to be “homogeneous of degree i”. * The index set is most commonly or , and may be required to have extra structure depending on the type of . * Grading by (i.e. ) is also important; see e.g. signed set (the -graded sets). * The trivial (- or -) gradation has for and a suitable trivial structure . * An algebraic structure is said to be if the index set is a direct product of sets; the pairs may be called “bidegrees” (e.g. see spectral sequence). * A -graded vector space o

AttributesValues
rdf:type
rdfs:label
rdfs:comment
• In mathematics, the term “graded” has a number of meanings, mostly related: In abstract algebra, it refers to a family of concepts: * An algebraic structure is said to be -graded for an index set if it has a gradation or grading, i.e. a decomposition into a direct sum of structures; the elements of are said to be “homogeneous of degree i”. * The index set is most commonly or , and may be required to have extra structure depending on the type of . * Grading by (i.e. ) is also important; see e.g. signed set (the -graded sets). * The trivial (- or -) gradation has for and a suitable trivial structure . * An algebraic structure is said to be if the index set is a direct product of sets; the pairs may be called “bidegrees” (e.g. see spectral sequence). * A -graded vector space o
foaf:isPrimaryTopicOf
dct:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
sameAs
dbp:wikiPageUsesTemplate
has abstract