Research Article

The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism

Volume: 1 Number: 1 June 30, 2018
EN

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

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  2. [2] K. H. Dar and M. Akram, On K-homomorphisms of K-algebras, Int. Math. Forum 2 (2007), no. 46, 2283–2293.
  3. [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. [4] Q. P. Hu and X. Li, On BCH-algebras, Math. Semin. Notes, Kobe Univ. 11 (1983), 313–320.
  5. [5] A. Iampan, The UP-isomorphism theorems for UP-algebras, Manuscript submitted for publication, April 2015.
  6. [6] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top. 5 (2017), no. 1, 35–54.
  7. [7] Y. Imai and K. Is´eki, On axiom system of propositional calculi, XIV, Proc. Japan Acad. 42 (1966), no. 1, 19–22.
  8. [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

APA
Mosrijai, P., Satirad, A., & Iampan, A. (2018). The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism. Fundamental Journal of Mathematics and Applications, 1(1), 12-17. https://doi.org/10.33401/fujma.407148
AMA
1.Mosrijai P, Satirad A, Iampan A. The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism. Fundam. J. Math. Appl. 2018;1(1):12-17. doi:10.33401/fujma.407148
Chicago
Mosrijai, Phakawat, Akarachai Satirad, and Aiyared Iampan. 2018. “The New UP-Isomorphism Theorems for UP-Algebras in the Meaning of the Congruence Determined by a UP-Homomorphism”. Fundamental Journal of Mathematics and Applications 1 (1): 12-17. https://doi.org/10.33401/fujma.407148.
EndNote
Mosrijai P, Satirad A, Iampan A (June 1, 2018) The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism. Fundamental Journal of Mathematics and Applications 1 1 12–17.
IEEE
[1]P. Mosrijai, A. Satirad, and A. Iampan, “The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism”, Fundam. J. Math. Appl., vol. 1, no. 1, pp. 12–17, June 2018, doi: 10.33401/fujma.407148.
ISNAD
Mosrijai, Phakawat - Satirad, Akarachai - Iampan, Aiyared. “The New UP-Isomorphism Theorems for UP-Algebras in the Meaning of the Congruence Determined by a UP-Homomorphism”. Fundamental Journal of Mathematics and Applications 1/1 (June 1, 2018): 12-17. https://doi.org/10.33401/fujma.407148.
JAMA
1.Mosrijai P, Satirad A, Iampan A. The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism. Fundam. J. Math. Appl. 2018;1:12–17.
MLA
Mosrijai, Phakawat, et al. “The New UP-Isomorphism Theorems for UP-Algebras in the Meaning of the Congruence Determined by a UP-Homomorphism”. Fundamental Journal of Mathematics and Applications, vol. 1, no. 1, June 2018, pp. 12-17, doi:10.33401/fujma.407148.
Vancouver
1.Phakawat Mosrijai, Akarachai Satirad, Aiyared Iampan. The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UP-homomorphism. Fundam. J. Math. Appl. 2018 Jun. 1;1(1):12-7. doi:10.33401/fujma.407148

Cited By

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