Multi-folded N-Structures with Finite Degree and its Application in BCH- Algebras

Authors

Jeong-Gon Lee^{1, *,} , Kul Hur², Young Bae Jun³

¹Division of Applied Mathematics, Nanoscale Science and Technology Institute, Wonkwang University, Iksan, 54538, Korea

²Department of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk, 54538, Korea

³Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea

^*Corresponding author. Email: jukolee@wku.ac.kr

DOI

10.2991/ijcis.d.201023.001How to use a DOI?

Keywords

k-folded N-subalgebra; k-folded N-closed ideal; (closed) k-folded N-filter

Abstract

The generalization of N-structure is introduced first and then applied to BCH-algebra for research. The concepts of k-folded N-subalgebra, k-folded N-closed ideal and (closed) k-folded N-filter are introduced, and then their relations and several properties are investigated. Conditions for the k-folded N-subalgebra to be k-folded N-closed ideal are provided. Characterization of k-folded N-subalgebra, k-folded N-closed ideal and (closed) k-folded N-filter are considered by using the notion of k-folded level sets. A k-folded N-subalgebra and a k-folded N-closed ideal are constructed by using the medial part and BCA-part. A k-folded N-filter is made by using the branch of a BCH-algebra. Conditions for a k-folded N-closed ideal to be a closed k-folded N-filter are discussed.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Jeong-Gon Lee
AU  - Kul Hur
AU  - Young Bae Jun
PY  - 2020
DA  - 2020/10/30
TI  - Multi-folded N-Structures with Finite Degree and its Application in BCH- Algebras
JO  - International Journal of Computational Intelligence Systems
SP  - 36
EP  - 42
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201023.001
DO  - 10.2991/ijcis.d.201023.001
ID  - Lee2020
ER  -