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On k*-radical in BCI-algebras

  • Abujabal, Hanza A. S. [1]
    1. [1] King Abdulaziz University

      King Abdulaziz University

      Arabia Saudí

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 16, Nº. 1, 1997, págs. 37-47
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1997.0001.00004
  • Enlaces
  • Resumen
    • In (2] the notion of nil radical in BCI-algebras was introduced and various properties are developed in [3]. Further, several results on nil ideals were obtained in [4] and [5]. The aim of this paper is to study and investigate some properties of k*- radicals in BCI-algebras. The notion of k*- semiprime ideal is introduced.

  • Referencias bibliográficas
    • Citas [1] C. S. Hoo, Closed ideals and p-semisimple BCI-algebras, Math. Japonica. 35 1103-1112. (1990)
    • [2] W. Huang. Nil-radical in BCI-algebras. Math. Japonica, 37, 363-366, (1992).
    • [3] Y. B. Jun. A note on nil ideals in BCI- algebras. Math. Japonica, 38, 1017-1021, (1993).
    • [4] Y. B. Jun, J. Meng and E. H. Roh. On nil ideals in BCI-algebras, Math. Japonica. 38. 1051-1056. (1993).
    • [5] Y. B. Jun, E. H. Roh, Nil ideals in BCI-algebras, Math. Japonica. 41. 297-302 (1995).
    • [6] C. Z. Mn and W. H. Xiong. On ideals in BCI-algebras, Math. Japonica. 36. 497-501 (1991).
    • [7] L. Ti and Changchang Xi, p-Radical in BCI-algebras, Math. Japonica, 30. 511-517. (1985).

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