论文标题
某些模块的某些不变性对与运营商的组的概括
The generalisation of some invariants of modules to groups with operators
论文作者
论文摘要
本文$ - $一部分较大的论文的一部分旨在详细描述与模块的半透明性经典理论的概述，用于模块的经典理论$ - $ - $ - $ - $ - $ - $ $ - $ $ - $向与许多不变的经营者一起在模量理论中众所周知，具有特殊的熊市，具有半度性的现象。这些广义不变的行为与受限制的直接总和的基本结构有关，尤其是在与操作员的半精密组的背景下。该文章还介绍了与操作员的群体之间的一种特殊类型的形态，这种形态自然可以保留所讨论的广义不变剂，因此表明自己是在考虑到更通用框架中半多余的研究的适当概念。
The article $-$ part of a larger thesis which aims to give a detailed description of the generalisation to the category of groups with operators of the classical theory of semisimplicity for modules $-$ presents a straightforward generalisation to groups with operators of a number of invariants well-known in the theory of modules, having a special bearing on phenomena of semisimplicity. The behaviour of these generalised invariants in relation to the fundamental construction of restricted direct sums and in particular in the context of semisimple groups with operators is in particular examined. The article also introduces a particular type of morphisms between groups with operators, morphisms which naturally preserve the generalised invariants in question and thus show themselves to be an adequate notion for the study of semisimplicity in the more general frame considered.
