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Picard groups and torsion-free cancellation for orders in \(\mathbb Z \times \mathbb Z \times \mathbb Z\)

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Publication:261658
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DOI10.1216/RMJ-2015-45-6-1873zbMath1366.13007OpenAlexW2516214858MaRDI QIDQ261658

Ryan Karr

Publication date: 24 March 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1457960339


zbMATH Keywords

cancellationPicard grouporder


Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Class groups (13C20)




Cites Work

  • Unnamed Item
  • Krull-Schmidt uniqueness fails dramatically over subrings of Z\(\oplus\dots \oplus Z\)
  • Cancellation over commutative rings of dimension one and two
  • Integral representations and diagrams
  • Finite representation type and direct-sum cancellation.
  • Stable isomorphism of modules over one-dimensional rings
  • Cubic rings and their ideals
  • Introduction to Algebraic K-Theory. (AM-72)


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