Symplectic modules over overrings of polynomial rings

Alpesh M. Dhorajia ()
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Alpesh M. Dhorajia: IIT Mumbai

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 4, 371-390

Abstract: Abstract Let B be a commutative Noetherian ring of dimension d and let S be a set of all monic polynomials in B[X]. Let A be a subring of S −1 B[X] which contains B[X]. Let P be a symplectic A-module of rank 2n ≥ d, n > 0. Then we prove that ESp (A 2 ⊥ P, 〈,〉) acts transitively on Um (A 2 ⊕ P).

Keywords: Projective module; unimodular element; cancellation problem (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0023-2

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