Projective modules over discrete Hodge algebras
Manoj Kumar Keshari
TL;DR
This paper proves that projective modules of a certain rank over discrete Hodge algebras are extended from the base ring, building on previous results about polynomial extensions.
Contribution
It extends Vorst's result by showing projective modules over discrete Hodge algebras are extended from the base ring under specific conditions.
Findings
Projective modules over discrete Hodge algebras are extended from the base ring.
Extension property holds for modules of rank r under certain conditions.
Generalizes known results from polynomial extensions to discrete Hodge algebras.
Abstract
Let A be a Noetherian commutative ring. Assume that projective modules of rank r over polynomial extensions of A are extended from A. Then projective modules of rank r over discrete Hodge A-algebras are also extended from A. This result extends a result of T. Vorst.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models