一维诺瑟域上的广义格

Pub Date : 2022-11-01 DOI:10.1216/jca.2022.14.443

P. Př́ıhoda

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引用次数: 0

摘要

研究了一维交换诺瑟域上纯射影无扭模的直接和分解。在可分离代数阶表示理论的启发下，我们研究了当每一个纯射影无扭模是有限生成模的直接和时。给出了解析化局部环和Bass域的满意判据。

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Generalized lattices over one-dimensional noetherian domains

We study direct sum decompositions of pure projective torsion free modules over one-dimensional commutative noetherian domains. Having an inspiration in the representation theory of orders in separable algebras we study when every pure projective torsion free module is a direct sum of finitely generated modules. A satisfactory criterion is given for analytically unramified reduced local rings and for Bass domains.

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