Article ID Journal Published Year Pages File Type
4584746 Journal of Algebra 2014 17 Pages PDF
Abstract

We study the Picard group of a monoid scheme and the class group of a normal monoid scheme. To do so, we develop some ideal theory for (pointed abelian) noetherian monoids, including primary decomposition and discrete valuations. The normalization of a monoid turns out to be a monoid scheme, but not always a monoid.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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