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中文摘要：
研究左Q模余核映射的相关性质，给出左Q-模上一个映射是余核映射的等式刻画；讨论Dual双模，Girard双模与对合左Q-模的关系，并分别给出它们的等价刻画；证明任意双Q-模都可嵌入到Girard双模，并且Girard双模上的核映射与余核映射是一一对应关系。
英文摘要：
In this paper, some properties of conuclei characterization for a map to be a conucleus is given. on left Q-module are investigated and the equality The relatioaships between Dual bimodule, Girard bimodule and left involutive Q-module are discussed and their equivalent characterizations are given respectively, It is proved that every bimodule can be embedding into a Girard bimodule, and nuclei and conuclei on Girard bimodule are in one-to-one correspondence.
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