Biproduct
Biproduct In category theory and its applications to mathematics, a biproduct is a generalisation of the notion of ... ��� ⊕ A n in C (the biproduct); morphisms p k : A 1 ⊕ ��� ... ⊕ ��� ⊕ A n is a biproduct of A 1 ,...,A n . Note that ... applies, and we have for the nullary biproduct an object O such that the ...
http://en.wikipedia.org/wiki/Biproduct - 4k - Cached - Similar pages

Talk:Biproduct
Talk:Biproduct I feel that the general thrust of ... strange to say that "If a nullary biproduct exists and all binary biproducts A1 ⊕ ... assumption that all biproducts are finite. A biproduct is neither more nor less than an ... as I can see, the notion of biproduct only really makes sense in the context ... isomorphism, then the product/coproduct is a biproduct. If all finite biproducts exist, then ...
http://en.wikipedia.org/wiki/Talk:Biproduct - 3k - Cached - Similar pages

Additive category
... 1 ,...,A n of C have a biproduct A 1 ⊕ ��� ⊕ A n ... of Abelian groups; and recall that a biproduct in a preadditive category is both a ... is a closed monoidal category, and the biproduct in Ab is the finite direct sum ... with themselves. Specifically, if we define the biproduct power A n to be the n-fold biproduct A ⊕ ��� ⊕ A and ...
http://en.wikipedia.org/wiki/Additive_category - 13k - Cached - Similar pages

Preadditive category
... categories can be characterised by the following biproduct condition: The object B is a biproduct of the objects A 1 ,...,A n ... whenever j and k are distinct. This biproduct is often written A 1 ⊕ ��� ... the direct sum. This is because the biproduct in well known preadditive categories like Ab ... infinite biproducts do not make sense. The biproduct condition in the case n = 0 ...
http://en.wikipedia.org/wiki/Preadditive_category - 16k - Cached - Similar pages

User:Lethe/list of categories
... all objects; fbi:finite number have a biproduct; bi: all have biproduct ∐ coproducts n: no objects have; c ... objects in a pre-additive category have biproduct. Category Objects morphisms c //⊂ ∏/∐ ...
http://en.wikipedia.org/wiki/User:Lethe/list_of_categories - 28k - Cached - Similar pages

User talk:Kevehs
... people act. I wonder if its a biproduct their ideology, or if their ideology is a biproduct of their assumptions about "human nature" to ...
http://en.wikipedia.org/wiki/User_talk:Kevehs - 33k - Cached - Similar pages

Net primary productivity
... primary result being food and a secondary biproduct of oxygen. This concept plays into what ...
http://en.wikipedia.org/wiki/Net_primary_productivity - 1k - Cached - Similar pages

Cacodylic acid
... skin contact. Once thought to be a biproduct of inorganic arsenic detoxification, it is now ...
http://en.wikipedia.org/wiki/Cacodylic_acid - 4k - Cached - Similar pages

Equivalent Exchange
... question is for the most part the biproduct of the natural process of death in ...
http://en.wikipedia.org/wiki/Equivalent_Exchange - 14k - Cached - Similar pages

User:Mathbot/Logged misspellings (old2)
... equivalent Binary numeral system 91 morphsims morphisms Biproduct 92 Reccurent Recurrent Bisection 93 coorelation correlation ...
http://en.wikipedia.org/wiki/User:Mathbot/Logged_misspellings_(old2) - 129k - Cached - Similar pages