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An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank

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Publication:1650656
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DOI10.1007/s11425-016-9060-2zbMath1414.11167arXiv1406.3523OpenAlexW2963690585MaRDI QIDQ1650656

Yingpu Deng, Dandan Huang

Publication date: 5 July 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3523


zbMATH Keywords

Dedekind domainsbasis representationdeterministic polynomial-time testHermite and Smith normal forms


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Algebraic number theory computations (11Y40)




Cites Work

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  • Polynomial-time locality tests for finite rings
  • PRIMES is in P
  • Complexity of ring morphism problems
  • Fast multiplication of large numbers
  • Worst-Case Complexity Bounds on Algorithms for Computing the Canonical Structure of Finite Abelian Groups and the Hermite and Smith Normal Forms of an Integer Matrix
  • The Complexity of Black-Box Ring Problems
  • Asymptotically Fast Triangularization of Matrices over Rings
  • Algorithms in Algebraic Number Theory
  • Advanced Topics in Computional Number Theory
  • Fast construction of irreducible polynomials over finite fields


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