Ideal theory of BCK/BCI-algebras based on hybrid structures
Volume 23, Issue 2, pp 136--144
http://dx.doi.org/10.22436/jmcs.023.02.06
Publication Date: October 22, 2020
Submission Date: June 28, 2020
Revision Date: September 20, 2020
Accteptance Date: September 24, 2020
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Authors
G. Muhiuddin
- Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia.
D. Al-Kadi
- Department of Mathematics and Statistic, Taif University, Taif 21974, Saudi Arabia.
Ahsan Mahboob
- Department of Mathematics, Madanapalle Institute of Technology (\&) Science, Madanapalle-517325, India.
Abstract
In this paper, the concept of hybrid ideals in BCK/BCI-algebras is introduced, and related properties are investigated. Further, it is proved that every hybrid ideal is hybrid sub-algebra in BCK/BCI-algebras, but the converse is not valid in general, and an example is provided in this regard. Some characterizations of hybrid ideals in BCK/BCI-algebras are given. Moreover, the notion of hybrid closed ideals in BCI-algebras is introduced, and some associated properties are studied. Furthermore, the hybrid intersection and hybrid union are also discussed.
Share and Cite
ISRP Style
G. Muhiuddin, D. Al-Kadi, Ahsan Mahboob, Ideal theory of BCK/BCI-algebras based on hybrid structures, Journal of Mathematics and Computer Science, 23 (2021), no. 2, 136--144
AMA Style
Muhiuddin G., Al-Kadi D., Mahboob Ahsan, Ideal theory of BCK/BCI-algebras based on hybrid structures. J Math Comput SCI-JM. (2021); 23(2):136--144
Chicago/Turabian Style
Muhiuddin, G., Al-Kadi, D., Mahboob, Ahsan. "Ideal theory of BCK/BCI-algebras based on hybrid structures." Journal of Mathematics and Computer Science, 23, no. 2 (2021): 136--144
Keywords
- BCK/BCI-algebras
- hybrid sub-algebra
- hybrid ideal
- hybrid closed ideal
MSC
- 03E72
- 03G25
- 06F35
- 08A72
- 16D25
- 94D05
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