ON CLOSED BCH-ALGEBRA WITH RESPECT TO AN ELEMENT OF A BCH-ALGEBRA
DOI:
https://doi.org/10.31642/JoKMC/2018/010402Keywords:
BCH-algebra, closed BCH-algebraAbstract
  In this paper, we define the concepts of a closed ideal with respect to an element of a BCH-algebra and a closed BCH-algebra with respect to an element of BCH-algebra . We stated and proved some theorems which determine the relationship between these notion and the notions of some ideals of a BCH-algebra.
Downloads
References
A. B. Saeid, 2010, "Fantastic ideal in BCI-algebras" , World Applied Sciences Journal 8 (5), 550-554.
B. Saeid, A. Namdar and R. A. Borzooei, 2009, "Ideal theory of BCHalgebra", World Applied Sciences Journal 7 (11), 1446-1455.
. Meng and Y.B. Jun, 1994, "BCKalgebras", Kyungmoon Sa Co. Korea.
K. H. Dar and M. Akram, 2006, "On Endomorphisms of BCH-algebras", Annals of University of Craiova. Comp. Ser. 33, 227-234.
K. Iseki, 1966, "An algebra related with a propositional calculus", Proc. Japan Academy, 42, 26-29. DOI: https://doi.org/10.3792/pja/1195522171
K. Iseki and A. B. Thaheem, 1984, "A note no BCI-algebra", Math. Japonica 29 , 255-258.
M. A. Chaudhry and H. Fakhar-ud-din, 1996, " Ideals and Filters in BCHalgebra", Math. Japonica 44, No. 1, 101- 112.
M. A. Chaudhry and H. Fakhar-ud-din, 2001, "On some classes of BCH-algebra", J. I. M. M. S. 25, 205-211. DOI: https://doi.org/10.1155/S0161171201003957
M. A. Chaudhry, 1991, "On BCHalgebras", Math. Japonica 36 , 665-676.
Q. P. Hu and X. Li, 1983, "On BCHalgebras", Math. Sem. Notes Kobe University No. 2, Part 2, 11: 313-320.
W. A. Dudek and Y. B. Jun, 2002, " Radical theory in BCH-algebras" , Algebra and Discrete Mathematics, No. 1, 69–78.
Y. Imai and K. Iseki, 1966, "On axiom systems of propositional calculi XIV", Proc. Japan Academy, 42, 19-22,. DOI: https://doi.org/10.3792/pja/1195522169
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Hussein Hadi Abbass
This work is licensed under a Creative Commons Attribution 4.0 International License.
which allows users to copy, create extracts, abstracts, and new works from the Article, alter and revise the Article, and make commercial use of the Article (including reuse and/or resale of the Article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made and the licensor is not represented as endorsing the use made of the work.