Definition of Biproducts. Meaning of Biproducts. Synonyms of Biproducts

Here you will find one or more explanations in English for the word Biproducts. Also in the bottom left of the page several parts of wikipedia pages related to the word Biproducts and, of course, Biproducts synonyms and on the right images related to the word Biproducts.

Definition of Biproducts

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Meaning of Biproducts from wikipedia

- trivial vector space. More generally, biproducts exist in the category of modules over a ring. On the other hand, biproducts do not exist in the category of...
- categories, like Ab, infinite biproducts do not make sense (see Category of abelian groups § Properties). The biproduct condition in the case n = 0 simplifies...
- additive category is a preadditive category C admitting all finitary biproducts. There are two equivalent definitions of an additive category: One as...
- preadditive, finite products are the same as finite coproducts, making them biproducts; given any morphism f: A → B in C, the equaliser of f and the zero morphism...
- Sigma additivity Additive category, a preadditive category with finite biproducts Additive inverse, an arithmetic concept Additive prime, a prime if the...
- isomorphism and the corresponding object is known as the biproduct. A category with all finite biproducts is known as a semiadditive category. If all families...
- abelian if it is preadditive and it has a zero object, it has all binary biproducts, it has all kernels and cokernels, and all monomorphisms and epimorphisms...
- y\in {\text{colgroups}}} . Block matrix algebra arises in general from biproducts in categories of matrices. The matrix P = [ 1 2 2 7 1 5 6 2 3 3 4 5 3...
- and because the direct sum of finitely many abelian groups yields a biproduct, we indeed have an additive category. In Ab, the notion of kernel in the...
- deleted, thus capturing classical communication. In early works, dagger biproducts were used to study both classical communication and the superposition...