Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on symmetric linear functions and pseudotrace maps   Let A be a finite-dimensional associative algebra and $\phi$ a symmetric
linear function on $A$. In this note, we will show that the pseudotrace maps
are obtained as special cases of well-known symmetric linear functions on the
endomorphism rings of projective modules. We also prove that modules are
interlocked with $\phi$ if and only if they are projective. As an application
of our approach, we will give proofs of several propositions and theorems for
pseudotrace maps for an arbitrary finite-dimensional associative algebra.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: quant-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: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn