Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hom-entwining structures and Hom-Hopf-type modules   The notions of Hom-coring, Hom-entwining structure and associated entwined
Hom-module are introduced. A theorem regarding base ring extension of a
Hom-coring is proven and then is used to acquire the Hom-version of Sweedler
coring. Motivated by the work of T. Brzezinski, a Hom-coring associated to an
entwining Hom-structure is constructed and an identification of entwined
Hom-modules with Hom-comodules of this Hom-coring is shown. The dual algebra of
this Hom-coring is proven to be a $\psi$-twisted convolution algebra. By a
construction, it is shown that a Hom-Doi-Koppinen datum comes from a
Hom-entwining structure and that the Doi-Koppinen Hom-Hopf modules are the same
as the associated entwined Hom-modules. A similar construction regarding an
alternative Hom-Doi-Koppinen datum is also given. A collection of Hom-Hopf-type
modules are gathered as special examples of Hom-entwining structures and
corresponding entwined Hom-modules, and structures of all relevant Hom-corings
are also considered.

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The categories of this paper are: hep-ex
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: physics