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Original Articles

On a conjecture posed by Benhissi and Koja

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Pages 2655-2661 | Received 17 Sep 2019, Accepted 13 Jan 2020, Published online: 22 Feb 2020

References

  • Benhissi, A. (2011). PF and PP-properties in Hurwitz series ring. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 54:203–211.
  • Benhissi, A., Koja, F. (2012). Basic properties of Hurwitz series rings. Ricerche Mat. 61(2):255–273. DOI: 10.1007/s11587-012-0128-2.
  • Gordon, R. (1969). Rings in which minimal left ideals are projective. Pacific J. Math. 31(3):679–692. DOI: 10.2140/pjm.1969.31.679.
  • Keigher, W. F. (1997). On the ring of Hurwitz series. Commun. Algebra 25(6):1845–1859. DOI: 10.1080/00927879708825957.
  • Kim, D. K., Lim, J. W. An annihilator condition on maximal ideals of composite Hurwitz rings. J. Appl. Math. Informa. 38(1–2):57–64. DOI: 10.14317/jami.2020.057.
  • Kim, D. K., Lim, J. W. Factorization in generalized composite Hurwitz rings. Preprint.
  • Kim, D. K., Lim, J. W. Some annihilator conditions in generalized composite Hurwitz rings. Submitted for publication.
  • Lim, J. W., Oh, D. Y. (2017). Chain conditions on composite Hurwitz series rings. Open Math. 15:1161–1170.
  • Nicholson, W. K., Watters, J. F. (1988). Rings with projective socle. Proc. Amer. Math. Soc. 102(3):443–450. DOI: 10.1090/S0002-9939-1988-0928957-5.
  • Shikishima-Tsuji, K., Katsura, M. (1992). Hypertranscendental elements of a formal power-series ring of positive characteristic. Nagoya Math. J. 125:93–103. DOI: 10.1017/S0027763000003913.

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