论文标题
差分环上的差分投影模块，ii
Differential Projective Modules over Differential Rings, II
论文作者
论文摘要
换向差分环R上的差分模块是有限地生成的，该模块是有限生成的，它具有差分同态的环模块，形成了一个加性类别，因此它们的同构类别形成单型。我们研究了具有分量明智的衍生的自由模块的同构类别的下monoid的商单体。该商单体具有降低的r（忽略派生）作为图像的k组，并包含R的降低的r作为其单位子组的k组。该单体提供了对等效性差异射击模块的同构类别的描述。
Differential modules over a commutative differential ring R which are finitely generated projective as ring modules, with differential homomorphisms, form an additive category, so their isomorphism classes form a monoid. We study the quotient monoid of this monoid by the submonoid of isomorphism classes of free modules with component wise derivation. This quotient monoid has the reduced K group of R (ignoring the derivation) as an image and contains the reduced K group of the constants of R as its subgroup of units. This monoid provides a description of the isomorphism classes of differential projective R modules up to an equivalence.
