Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morita Contexts for Corings and Equivalences   In this note we study Morita contexts and Galois extensions for corings. For
a coring $\QTR{cal}{C}$ over a (not necessarily commutative) ground ring $A$ we
give equivalent conditions for $\QTR{cal}{M}^{\QTR{cal}{C}}$ to satisfy the
weak. resp. the strong structure theorem. We also characterize the so called
\QTR{em}{cleft}$C$\QTR{em}{-Galois extensions} over commutative rings. Our
approach is similar to that of Y. Doi and A. Masuoka in their work on (cleft)
$H$-Galois extensions.

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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: stat