Preadditive
Übersetzung von "preadditive" ins Russisch
preadditive
SubstantivUK
/ˌpriːˈæd.ɪ.tɪv/
US
/ˌpriˈæd.ə.tɪv/
preadditive
preadditives Pl.
предаддитив
The preadditive is an important concept in algebra.
Предаддитив является важным понятием в алгебре.
preadditive
AdjektivUK
/priːˈædɪtɪv/
US
/priˈædɪtɪv/
preadditive
more preadditive Komp.
most preadditive Super.
In mathematics, a preadditive category is a category enriched over the category of abelian groups.
В математике предаддитивная категория — это категория, обогащенная над категорией абелевых групп.
Definitionen
preadditive
SubstantivUK
/priːˈædɪtɪv/
US
/priˈædɪtɪv/
A category whose hom-sets are abelian groups and whose composition is bilinear, but which may lack finite biproducts.
Working in a preadditive simplifies the construction of chain complexes.
preadditive
AdjektivUK
/priːˈædɪtɪv/
US
/priˈædɪtɪv/
(of a category) Having each hom-set equipped with the structure of an abelian group and composition that is bilinear, although finite biproducts need not exist.
The category of left R-modules is preadditive because morphisms form abelian groups and composition is bilinear.