Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 3

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Lazy 2-cocycles over monoidal Hom-Hopf algebras

100%
Zhao X., Zhang X.
Colloquium Mathematicum
|
2016
|
tom 142
|
nr 1
61-81
EN
We introduce the notion of a lazy 2-cocycle over a monoidal Hom-Hopf algebra and determine all lazy 2-cocycles for a class of monoidal Hom-Hopf algebras. We also study the extension of lazy 2-cocycles to a Radford Hom-biproduct.
2
Content available remote

Separable functors for the category of Doi Hom-Hopf modules

100%
Guo S., Zhang X.
Colloquium Mathematicum
|
2016
|
tom 143
|
nr 1
23-37
EN
Let $𝓗̃ (𝓜 _{k})(H)^{C}_{A}$ be the category of Doi Hom-Hopf modules, $𝓗̃ (𝓜 _{k})_{A}$ be the category of A-Hom-modules, and F be the forgetful functor from $𝓗̃ (𝓜 _{k})(H)^{C}_{A}$ to $𝓗̃ (𝓜 _{k})_{A}$. The aim of this paper is to give a necessary and suffcient condition for F to be separable. This leads to a generalized notion of integral. Finally, applications of our results are given. In particular, we prove a Maschke type theorem for Doi Hom-Hopf modules.
3
Content available remote

Braided monoidal categories and Doi-Hopf modules for monoidal Hom-Hopf algebras

81%
Guo S., Zhang X., Wang S.
Colloquium Mathematicum
|
2016
|
tom 143
|
nr 1
79-103
EN
We continue our study of the category of Doi Hom-Hopf modules introduced in [Colloq. Math., to appear]. We find a sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. We also obtain a condition for a monoidal Hom-algebra and monoidal Hom-coalgebra to be monoidal Hom-bialgebras. Moreover, we introduce morphisms between the underlying monoidal Hom-Hopf algebras, Hom-comodule algebras and Hom-module coalgebras, which give rise to functors between the category of Doi Hom-Hopf modules, and we study tensor identities for monodial categories of Doi Hom-Hopf modules. Furthermore, we construct a braiding on the category of Doi Hom-Hopf modules. Finally, as an application of our theory, we get a braiding on the category of Hom-modules, on the category of Hom-comodules, and on the category of Hom-Yetter-Drinfeld modules.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.