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LI Tingyu, ZHANG Xia. A Further Characterization of Congruences on S-quantales[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(1): 105-107.
Citation: LI Tingyu, ZHANG Xia. A Further Characterization of Congruences on S-quantales[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(1): 105-107.
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A Further Characterization of Congruences on S-quantales

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  • Let S be a semigroup, Q_S an S-quantale. In this paper, we characterize the minimum congruence generated by an arbitrary binary relation in Q_S, construct the relative nucleus and quotient derived from a congruence of Q_S, and vice versa.
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