论文标题
过滤的共同
Filtered cocategories
论文作者
论文摘要
我们回想起分级共同的概念，综合共同的共同体，这种（共同函数）的形态，编码和编码，并在$ \ Mathbb l $滤光的设置中定义它们的类似物。与现有方法的不同之处：我们不对$λ$ - 模型的形态施加任何限制（与福卡亚和合作者不同），我们认为比de〜deken and Lowen（包括有指导的组$ \ \ Mathbb l $），我们考虑的过滤量更大。完整过滤的综合相关的结果包括：描述了完整的张张量相关的共同函数和代码启动，当第二个参数是完整的张量cocategory时，将部分内部HOM构造为某些代码Quiver的张量相关。
We recall the notions of a graded cocategory, conilpotent cocategory, morphisms of such (cofunctors), coderivations and define their analogs in $\mathbb L$-filtered setting. The difference with the existing approaches: we do not impose any restriction on $Λ$-modules of morphisms (unlike Fukaya and collaborators), we consider a wider class of filtrations than De~Deken and Lowen (including directed groups $\mathbb L$). Results for completed filtered conilpotent cocategories include: cofunctors and coderivations with value in completed tensor cocategory are described, a partial internal hom is constructed as the tensor cocategory of certain coderivation quiver, when the second argument is a completed tensor cocategory.
