Co-equalizers and functors
نویسندگان
چکیده
منابع مشابه
Qf Functors and (co)monads
One reason for the universal interest in Frobenius algebras is that their characterisation can be formulated in arbitrary categories: a functor K : A → B between categories is Frobenius if there exists a functor G : B → A which is at the same time a right and left adjoint of K; a monad F on A is a Frobenius monad provided the forgetful functor AF → A is a Frobenius functor, where AF denotes the...
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Co)induction functors appear in several areas of Algebra in different forms. Interesting examples are the so called induction functors in the Theory of Affine Algebraic Groups. In this paper we investigate Hopf pairings (bialgebra pairings) and use them to study (co)induction functors for affine group schemes over arbitrary commutative ground rings. We present also a special type of Hopf pairin...
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For functors L : A→ B and R : B→ A between any categories A and B, a pairing is defined by maps, natural in A ∈ A and B ∈ B, MorB(L(A), B) α // MorA(A,R(B)) β oo . (L,R) is an adjoint pair provided α (or β) is a bijection. In this case the composition RL defines a monad on the category A, LR defines a comonad on the category B, and there is a well-known correspondence between monads (or comonad...
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Rick Chinn is a working sound engineer who has been involved in all facets of recording, sound reinforcement and acoustical design for the past fifteen years. He has written articles for Modern Recording and Music, Music and Sound Output and A/V Video and has worked for TAPCO and Kaye-Smith studios.
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We describe structural properties of globally defined Mackey functors related to the stratification theory of algebras. We show that over a field of characteristic zero they form a highest weight category and we also determine precisely when this category is semisimple. This approach is used to show that the Cartan matrix is often symmetric and non-singular, and we are able to compute finite pa...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1967
ISSN: 0019-2082
DOI: 10.1215/ijm/1256054672