尊重
发表于 2025-3-25 06:45:48
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战胜
发表于 2025-3-25 09:06:39
(Hopf) Bialgebroids,eplaced by the category of bimodules over some algebra .; or, isomorphically, the category of left modules over . ⊗ ... Those endofunctors on it are considered which are induced, as in Example . 4, by the . ⊗ ..-module tensor product with a fixed . ⊗ ..-bimodule .. The monad structures on this funct
CROW
发表于 2025-3-25 14:58:04
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Brochure
发表于 2025-3-25 19:32:34
(Hopf) Bimonoids in Duoidal Categories, the morphisms in the category and all natural transformations between the induced functors. Those monads are identified which correspond to monoids; and those opmonoidal functors are identified which correspond to comonoids. This leads to an equivalence between bimonoids in a duoidal category and b
Mendicant
发表于 2025-3-25 23:39:53
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glamor
发表于 2025-3-26 00:14:22
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修剪过的树篱
发表于 2025-3-26 06:34:45
(Hopf) Bialgebras,. This results in a bijection between the bialgebras; and the induced bimonads on the category of vector spaces. The bijection is shown to restrict to Hopf algebras on one hand; and Hopf monads on the other hand.
鞭打
发表于 2025-3-26 10:46:02
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Host142
发表于 2025-3-26 16:31:12
Introduction,eneralizations of Hopf algebra as Hopf monad structures on suitable functors. The covered examples include classical Hopf algebras, Hopf monoids in duoidal (in particular braided monoidal) categories, Hopf algebroids and (in particular) weak Hopf algebras.
Meditate
发表于 2025-3-26 20:43:00
(Hopf) Bimonads,ient and necessary condition is obtained for the lifting of the closed structure as well, in the form of the invertibility of a canonical natural transformation. A Hopf monad is defined as a bimonad for which this natural transformation is invertible.