10 ENGLISH BOOKS RELATING TO «COPRODUCT»
Discover the use of
coproduct in the following bibliographical selection. Books relating to
coproduct and brief extracts from same to provide context of its use in English literature.
In the product and coproduct, the morphism h will be said to be the morphism
induced by the family {#,}. Examples. Let S be the category of sets. Then
coproducts exist, i.e. every family of objects has a coproduct. For instance, let S, S
' be sets.
2
Iterating the Cobar Construction
CHAPTER 1 Introduction One of the most important invariants of homotopy type
of a topological space is the coproduct-structure on the chain-complex. Indeed, it
determines the rational homotopy type of a pointed simply-connected space (see
...
3
Category Theory 1991: Proceedings of an International Summer ...
Definition 3.7 A category A is called coproduct- accessible if (i) A has small
coproducts, and (ii) there is a small full subcategory B of Ac so that every object of
A is a small coproduct of objects in B. Example 3.8 Rel, the category of small sets
...
Robert Andrew George Seely, 1992
4
Categories for the Working Mathematician
the object c is necessarily unique (up to isomorphism in C); it is written c = aUb or
c = a + b and is called a coproduct object. The coproduct diagram then is the
arrows i and j are called the injections of the coproduct a II b (though they are not
...
5
Foundations of Module and Ring Theory
Product. 2.Product of morphisms. 3. Product in R-MOD. 4. Characterization of the
product. S. Coproduct. 6. Coproduct of morphisms. 7. Coproduct in R-MOD. 8.
Characterization of the coproduct. g. Relation between internal and external sum.
If in an exact additive category the exact sequence ( l) splits, say By = 16, then B
is the coproduct Qf or and y. Furthermore p : B—>A can be chosen such that B
and p are the projections from the coproduct. Proof. This follows immediately from
...
7
Classifications of Abelian Groups and Pontrjagin Duality
Then there is a *-valuated coproduct F' = 0(yz) in G so that g = g\ and each
element gj is primitive. where H' = N ® F' is a *-valuated coproduct in G and H/H'
is finite. Proof. We write g = z+k\xi+. . .+fcnxn (z € N) and may assume that F = (xi )
©.
8
Analysis and Correctness of Algebraic Graph and Model ...
In this case, the pushout object is also the coproduct of A and B, because for any
object in comparison to the coproduct the morphisms agree via iA and iB on I,
and the constructed pushout induces also the coproduct morphism. 3. This
follows ...
9
Graph Transformations: Second International Conference, ICGT ...
The coproduct transformation will help in this procedure, as it is shown in next
theorem 2. Again, for our notational purposes we consider that a sequence is
indeed a poset with all the proper edges added by transitive closure. Theorem 2.
10
Monoids, Acts and Categories: With Applications to Wreath ...
A pair ((u,~),€1,C) is called a coproduct of (X,-),-G1 in C, if (1) C E C and u,- E
MorC(X,-,C) for every i E I, (2) 1, C) is universal in the following sense: For every
K E C and for every family E Morg-(X,-,K1 there exists a unique k E Morg(C, K)
such ...
Mati Kilp, Ulrich Knauer, Alexander V. Mikhalev, 2000
10 NEWS ITEMS WHICH INCLUDE THE TERM «COPRODUCT»
Find out what the national and international press are talking about and how the term
coproduct is used in the context of the following news items.
Italian firm ready to license glycerin-to-bioplastics technology
... new technology to realize the first PHAs bioplastic production plants using glycerin coproduct from biodiesel production. The company says it ... «Biodiesel Magazine, Jun 15»
Oil market recap: Week ending 14 June 2015
Ethanol prices were slightly higher the week ending June 5. Ethanol manufacturing margins fell for the third straight week as coproduct DDG ... «Energy Global, Jun 15»
Making salty cheese with less sodium
“Also called dairy product solids, deproteinized whey or modified whey, permeates is a coproduct of the production of whey protein concentrate, ... «Baking Business, Jun 15»
Change Defines Ethanol's Coproducts
The July issue of Ethanol Producer Magazine has a coproducts theme and contains stories about coproduct quality, new coproducts and the ... «Ethanol Producer Magazine, Jun 15»
The true cost of cheap leather
Because skin is the most economically important coproduct of the meat industry, buying leather supports factory farms, where animals are ... «Hilton Head Island Packet, Jun 15»
Cracking The Kernel For Higher Value Products
Penetrating markets with a new coproduct is no easy task, though. Zein, for instance, has shown promise for decades, but has gained little ... «Ethanol Producer Magazine, Jun 15»
DDGS Challenges, Old and New
More important to coproduct values, however, is the international export market. In recent years, China has become the primary importer of ... «Ethanol Producer Magazine, Jun 15»
Defenbaugh, Caupert, named FEW award winners
The company has grown to include four Big River ethanol plants, two grain elevators and a Zein coproduct facility currently under construction. «Ethanol Producer Magazine, Jun 15»
Creating a Quality Image
More producers are diversifying their coproduct portfolio, first with corn oil extraction, and, in the future, with other coproducts, leading the ... «Ethanol Producer Magazine, Jun 15»
Wanted: Antibiotic-Free Chicken
... a paper, “Presence and biological activity of antibiotics used in fuel ethanol and corn coproduct production,” in the Journal of Animal Science. «Ethanol Producer Magazine, Jun 15»
