Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representable tolerances in varieties   We discuss two possible ways of representing tolerances: first, as a
homomorphic image of some congruence; second, as the relational composition of
some compatible relation with its converse. The second way is independent from
the variety under consideration, while the first way is variety-dependent. The
relationships between these two kinds of representations are clarified.
  As an application, we show that any tolerance on some lattice L is the image
of some congruence on a subalgebra of L $\times$ L. This is related to recent
results by G. Cz\'edli and E. W. Kiss.

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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat