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Original Articles

On Least Common Multiples of Polynomials in Z/nZ[x]

Pages 2066-2080 | Received 26 Aug 2010, Published online: 15 Jun 2012

REFERENCES

  • Bhargava , M. ( 1998 ). Generalized factorials and fixed divisors over subsets of a dedekind domain . J. Number Theory 72 : 67 – 75 .
  • Cahen , P. -Jean, Chabert , J.-L. ( 2006 ). Old Problems and New Questions Around Integer-Valued Polynomials and Factorial Sequences. Multiplicative Ideal Theory in Commutative Algebra . New York : Springer, pp. 89–108 .
  • Dummit , D. , Foote , R. ( 2004 ). Abstract Algebra. , 3rd ed. Hoboken , New Jersey : John Wiley & Sons .
  • Frei , C. , Frisch , S. ( 2011 ). Non-unique factorization of polynomials over residue class rings of the integers . Comm. Algebra 39 : 1482 – 1490 .
  • Frisch , S. ( 2005 ). Polynomial separation of points in algebras. Arithmetical Properties of Commutative Rings and Monoids, Lect. Notes Pure Appl. Math. 241 .
  • Ganske , G. , McDonald , B. R. ( 1973 ). Finite local rings . Rocky Mountain J. Math. 3 ( 4 ): 521 – 540 .
  • Gunji , H. , McQuillan , D. ( 1970 ). On a class of ideals in an algebraic number field . J. Number Theory 2 : 207 – 222 .
  • Serre , J.-P. ( 2000 ). Local Fields . New York : Springer .
  • Wan , Z.-X. ( 2003 ). Lectures on Finite Fields and Galois Rings . River Edge , New Jersey : World Scientific .
  • Werner , N. J. ( 2010 ). Integer-valued polynomials over quaternion rings . J. Algebra 324 ( 7 ): 1754 – 1759 .
  • Communicated by I. Swanson.

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