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Preadditive

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Перевод слова "preadditive" на Русский язык

preadditive
Существительное
raiting
UK
/ˌpriːˈæd.ɪ.tɪv/
US
/ˌpriˈæd.ə.tɪv/
preadditive
preadditives множ.
предаддитив
The preadditive is an important concept in algebra.
Предаддитив является важным понятием в алгебре.
preadditive
Прилагательное
raiting
UK
/priːˈædɪtɪv/
US
/priˈædɪtɪv/
preadditive
more preadditive Срав.
most preadditive Превосх.
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.

Опеределения

preadditive
Существительное
raiting
UK
/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
Прилагательное
raiting
UK
/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.