Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Module Pseudo-amenability of Banach algebras   The notions of module pseudo-amenable and module pseudo-contractible Banach
algebras are introduced. For a Banach algebra with bounded approximate
identity, module pseudo-amenability and module approximate amenability are the
same properties. It is given a complete characterization of module
pseudo-amenability for a Banach algebra. For every inverse semigroup $S$ with
subsemigroup $E$ of idempotents, necessary and sufficient conditions are
obtained for the $\ell^1(S)$ and its second dual to be $\ell^1(E)$-module
pseudo-amenable.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph