[PDF][PDF] Some applications of module theory to functor categories
B Mitchell - 1978 - projecteuclid.org
… Let 2 be the category 0~» 1, the totally ordered set of two elements. Then the functor category
& is the category whose objects are the morphisms of 6E … We have two evaluation functors …
& is the category whose objects are the morphisms of 6E … We have two evaluation functors …
[图书][B] Some model-theoretic properties of functor categories for modules
KH Burke - 1994 - search.proquest.com
… study of modules over a ring. The functor categories that we study most are (R —mod, Ab)
and (mod —R, Ab), the categories of additive functors from the category of finitely presented …
and (mod —R, Ab), the categories of additive functors from the category of finitely presented …
[图书][B] Lectures on tensor categories and modular functors
B Bakalov, AA Kirillov - 2001 - ams.org
… , we introduce the notion of a modular functor with central charge, which can be … a modular
functor, namely the one coming from the Wess–Zumino–Witten model of conformal field theory…
functor, namely the one coming from the Wess–Zumino–Witten model of conformal field theory…
[图书][B] Functor theory
PJ Freyd - 1960 - search.proquest.com
… races: Tf T is right-continuous, right exact functor from 3 to oA … to the functor - 3) A , We
return to functor categories at the ernd of Chapter Three to prove that if a corplete category eț3 …
return to functor categories at the ernd of Chapter Three to prove that if a corplete category eț3 …
[PDF][PDF] An introduction to the representations and cohomology of categories
P Webb - Group representation theory, 2007 - www-users.cse.umn.edu
… a functor F : C → R-mod where R-mod is the category of R-modules. Such a representation
may be identified as a module for a certain algebra which we now introduce. We define the …
may be identified as a module for a certain algebra which we now introduce. We define the …
[HTML][HTML] Abelian categories of modules over a (lax) monoidal functor
DN Yetter - Advances in Mathematics, 2003 - Elsevier
… Plainly it induces a lift in the ambient functor category, so we only need show that it satisfies
the conditions to induce left and right module maps. The former follows from the hypothesis …
the conditions to induce left and right module maps. The former follows from the hypothesis …
[图书][B] Functors between categories of modules
ER Willard - 1964 - search.proquest.com
… In particular Kan's work implies that adjoint functors exist for. functors on the category of
modules over a ring, the case in which we will wish to use it. The definition of relative adjoint is …
modules over a ring, the case in which we will wish to use it. The definition of relative adjoint is …
[图书][B] Divisor theory in module categories
L Nachbin, WV Vasconcelos - 2011 - books.google.com
… We prove in fact that Ext:(-,a) provides a dualizing functor for the category of A-modules
of finite length. This fact, with A = Q, was implicit in our earlier discussion of Gorenstein rings. …
of finite length. This fact, with A = Q, was implicit in our earlier discussion of Gorenstein rings. …
Categories and functors
M Hazewinkel, N Gubareni, VV Kirichenko - Algebras, Rings and Modules …, 2005 - Springer
… CATEGORIES, DIAGRAMS AND FUNCTORS In this section we introduce some of the basic
language of category theory involving the notions of category and functor… of the set theory, …
language of category theory involving the notions of category and functor… of the set theory, …
[图书][B] Frobenius and separable functors for generalized module categories and nonlinear equations
S Caenepeel, G Militaru, S Zhu - 2004 - books.google.com
… modules are discussed, for example we discuss when the category of entwined modules is a
monoidal category… We use entwining structures mainly as a tool to unify all kinds of modules…
monoidal category… We use entwining structures mainly as a tool to unify all kinds of modules…
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