李婷玉, 张霞. S-quantale同余的进一步刻画[J]. 华南师范大学学报(自然科学版), 2019, 51(1): 105-107.
引用本文: 李婷玉, 张霞. S-quantale同余的进一步刻画[J]. 华南师范大学学报(自然科学版), 2019, 51(1): 105-107.
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.

S-quantale同余的进一步刻画

A Further Characterization of Congruences on S-quantales

  • 摘要: 设S是半群.本文刻画了一个S-quantale Q_S上由任意一个二元关系生成的最小同余, 讨论了Q_S上同余与核映射及核映射的商之间的一一对应关系.

     

    Abstract: 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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