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Notes

A Note on Fraction Decompositions of Integers

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Pages 928-932 | Received 04 Aug 2019, Accepted 13 Jun 2020, Published online: 11 Dec 2020

References

  • Ambro, F., Barcău, M. (2015). On representations by Egyptian fractions. Rev. Roumaine Math. Pures Appl. 60(3): 331–336.
  • Azarian, M. K. (2012). Problems and solutions. College Math. J. 43(4): 337–344.
  • Chapman, S. T., Gotti, F., Gotti, M. (2020). Factorization invariants of Puiseux monoids generated by geometric sequences. Comm. Algebra. 48(1): 380–396. DOI: 10.1080/00927872.2019.1646269.
  • Coykendall, J., Gotti, F. (2019). On the atomicity of monoid algebras. J. Algebra. 539: 138–151. DOI: 10.1016/j.jalgebra.2019.07.033.
  • Curtiss, D. R. (1922). On Kellogg’s Diophantine problem. Amer. Math. Monthly. 29(10): 380–387. DOI: 10.1080/00029890.1922.11986179.
  • Geroldinger, A., Schmid, W. A. (2018). A realization theorem for sets of lengths in numerical monoids. Forum Math. 30(5): 1111–1118. DOI: 10.1515/forum-2017-0180.
  • Geroldinger, A., Zhong, Q. (2020). Factorization theory in commutative monoids. Semigroup Forum. 100(1): 22–51.
  • Gotti, F. (2017). On the atomic structure of Puiseux monoids. J. Algebra Appl. 16(7): 1750126. DOI: 10.1142/S0219498817501262.
  • Gotti, F. (2019). Systems of sets of lengths of Puiseux monoids. J. Pure Appl. Algebra. 223(5): 1856–1868.
  • OEIS Foundation Inc. (2020). The On-Line Encyclopedia of Integer Sequences. oeis.org/A000058
  • Sylvester, J. J. (1882). Excursus on rational fractions and partitions. Amer. J. Math. 5(1): 119–136.
  • Sylvester, J. J. (1880). On a point in the theory of vulgar fractions. Amer. J. Math. 3(4): 332–335.

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