The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism
Abstract
The aim of this paper is to construct the new fundamental theorem of UP-algebras in the meaning of the congruence determined by a UP-homomorphism. We also give an application of the theorem to the first, second, and third UP-isomorphism theorems in UP-algebras.
Keywords
References
- [1] S. Asawasamrit, KK-isomorphism and its properties, Int. J. Pure Appl. Math. 78 (2012), no. 1, 65–73.
- [2] K. H. Dar and M. Akram, On K-homomorphisms of K-algebras, Int. Math. Forum 2 (2007), no. 46, 2283–2293.
- [3] J. Hao and C. X. Li, On ideals of an ideal in a BCI-algebra, Sci. Math. Jpn. (in Editione Electronica) 10 (2004), no. 16, 493–500.
- [4] Q. P. Hu and X. Li, On BCH-algebras, Math. Semin. Notes, Kobe Univ. 11 (1983), 313–320.
- [5] A. Iampan, The UP-isomorphism theorems for UP-algebras, Manuscript submitted for publication, April 2015.
- [6] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top. 5 (2017), no. 1, 35–54.
- [7] Y. Imai and K. Is´eki, On axiom system of propositional calculi, XIV, Proc. Japan Acad. 42 (1966), no. 1, 19–22.
- [8] K. Is´eki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), no. 1, 26–29.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Phakawat Mosrijai
University of Phayao
Thailand
Akarachai Satirad
University of Phayao
Thailand
Aiyared Iampan
*
University of Phayao
0000-0002-0475-3320
Thailand
Publication Date
June 30, 2018
Submission Date
March 16, 2018
Acceptance Date
May 19, 2018
Published in Issue
Year 2018 Volume: 1 Number: 1
Cited By
Some Properties of Proper UP-Filters of UP-Algebras
Fundamental Journal of Mathematics and Applications
https://doi.org/10.33401/fujma.439246Picture Fuzzy Set Theory Applied to UP-algebras
Missouri Journal of Mathematical Sciences
https://doi.org/10.35834/2022/3401094The Third Isomorphism Theorem on UP-Bialgebras
Fundamental Journal of Mathematics and Applications
https://doi.org/10.33401/fujma.552192Notes on UP-ideals in UP-algebra
Communications in Advanced Mathematical Sciences
https://doi.org/10.33434/cams.440197Four New Concepts of Extensions of KU/UP-Algebras
Missouri Journal of Mathematical Sciences
https://doi.org/10.35834/2020/3202138
