论文标题
模块和仿射空间的堆
Heaps of modules and affine spaces
论文作者
论文摘要
引入和研究了一堆模块的概念,是一个模块的仿射版本,或者更一般地在桁架上进行了研究。导出了模块堆的基本属性。提出了由几何形状(连接,仿射空间)和代数拓扑(链收缩)产生的例子。揭示和分析了一个模块和模块之间的关系和仿射空间之间的关系。
A notion of heaps of modules as an affine version of modules over a ring or, more generally, over a truss, is introduced and studied. Basic properties of heaps of modules are derived. Examples arising from geometry (connections, affine spaces) and algebraic topology (chain contractions) are presented. Relationships between heaps of modules and modules over a ring and affine spaces are revealed and analysed.