Correction to “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...
متن کاملRegular Pairings of Functors and Weak (co)monads
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...
متن کاملIntroduction to Categories and Functors
The category is introduced as an ordered 5-tuple of the form 〈O,M,dom,cod, ·, id〉 where O (objects) and M (morphisms) are arbitrary nonempty sets, dom and cod map M onto O and assign to a morphism domain and codomain, · is a partial binary map from M×M to M (composition of morphisms), id applied to an object yields the identity morphism. We define the basic notions of the category theory such a...
متن کاملEqualizers and Constant-q
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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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1969
ISSN: 0019-2082
DOI: 10.1215/ijm/1256053760