Direct Product of Infinite Family of B-Algebras

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4383

Keywords:

B-algebra, external direct product, weak direct product, B-homomorphism, anti-B-homomorphism

Abstract

The concept of the direct product of finite family of B-algebras is introduced by Lingcong and Endam [J. A. V. Lingcong and J. C. Endam, Direct product of B-algebras, Int. J. Algebra,10(1):33-40, 2016.]. In this paper, we introduce the concept of the direct product of infinite family of B-algebras, we call the external direct product, which is a generalization of the direct product in the sense of Lingcong and Endam. Also, we introduce the concept of the weak direct product of B-algebras. Finally, we provide several fundamental theorems of (anti-)B-homomorphisms in view of the external direct product B-algebras.

Downloads

How to Cite

Chanmanee, C., Chinram, R., Prasertpong, R., Julatha, P., & Iampan, A. (2022). Direct Product of Infinite Family of B-Algebras. European Journal of Pure and Applied Mathematics, 15(3), 999–1014. https://doi.org/10.29020/nybg.ejpam.v15i3.4383

Most read articles by the same author(s)

1 2 > >>