On k*-radical in BCI-algebras
DOI:
https://doi.org/10.22199/S07160917.1997.0001.00004Keywords:
BCI-algebra, , Ideals, Subalgebra, k- radical, Nil ideal, k* - semiprime idealAbstract
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.
References
[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).
[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).
Published
2018-04-04
How to Cite
[1]
H. A. S. Abujabal, “On k*-radical in BCI-algebras”, Proyecciones (Antofagasta, On line), vol. 16, no. 1, pp. 37-47, Apr. 2018.
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