论文标题
ABELIAN类别中的CS-Baer和双CS-Baer对象
CS-Baer and dual CS-Baer objects in abelian categories
论文作者
论文摘要
我们研究了与其他相关对象类别（例如相对Baer对象，扩展对象，具有某些summand相交属性和相对CS-Rickart对象的对象）的相关类别相关类别的相对CS-BAER对象。双重结果将通过在Abelian类别中应用二元性原理自动获得。我们还研究了相对CS-BAER对象的直接总和，并确定了Dedekind域上双重CS-BAER模块的完整结构。进一步应用于模块类别。
We investigate relative CS-Baer objects in abelian categories in relationship with other relevant classes of objects such as relative Baer objects, extending objects, objects having certain summand intersection properties and relative CS-Rickart objects. Dual results are automatically obtained by applying the duality principle in abelian categories. We also study direct sums of relative CS-Baer objects, and we determine the complete structure of dual self-CS-Baer modules over Dedekind domains. Further applications are given to module categories.
