The investigate of ΓUP-algebras

Document Type : Original Article

Authors

1 Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran.

2 Institute of Mathematics,Yunnan University, Kunming, 650091, P.R. China

Abstract

We first define a new concept, namely, the ΓUP-algebra. Then, we study and investigate the properties of its ΓUP-ideals and ΓUP-subalgebras. As a consequence, we construct a covariant functor between the ΓUP-category and the UP algebra-category. Some possible connections between these categories are also considered.

Keywords

References

[1] M.A. Ansari, A. Haider, A. Koam, On a graph associated to UP-algebras, Mathematical and
Computational Applications, 23(4) (2018), 61.
[2] Q.P. Hu, X. Li, On BCH-algebras, Mathematics Seminar Notes (Kobe University), 11(2)
(1983), 313–320.
[3] A. Iampan, A new branch of the logical algebra: UP-algebras,Journal of Algebra and Related
Topics, 5(1) (2017), 35–54.
[4] A. Iampan, Introducing fully UP-semigrpups, Discussiones Mathematicae - General Algebra
and Applications, 38(2) (2018), 297–298.
[5] Y. Imai, K. Iseki, On axiom system of propositional calculi, XIV, Proceedings of the Japan
Academy, 42(1) (1966), 19–22.
[6] K. Iseki, An algebra related with a propositional calculus, Proceedings of the Japan Academy,
42(1) (1966), 26–29.
[7] S. Keawrahun, U. Leerawat, On isomorphisms of SU-algebras, Scientia Magna Journal, 7(2)
(2011), 39–44.
[8] S. M. Mostafa, M.A.A. Naby, O.R. Elgendy, Interval-valued fuzzy KU-ideals in KU-algebras,
International Mathematical Forum, 6(4) (2011), 3151–3159.
[9] S. M. Mostafa, M.A.A. Naby, O.R. Elgendy, Intuitionistic fuzzy KU-ideals in KU-algebras,
International Journal of Mathematics and Mathematical Sciences, 1(3) (2011), 1379–1384.
[10] C. Prabpayak, U. Leerawat, On ideals and congruences in KU-algebras,Scientia Magna Journal,
1(5) (2009), 54–57.
[11] T. Senapati , Y.B. Jun, K.P. Shum, Cubic set structure applies in UP-algebras, Discrete
Mathematics Algorithm and Applications, 10(4) (2018), ID 1866104, 23 pages.
[12] T. Senapati, G. Muhiuddin, K.P. Shum, Representation of UP-algebras in Interval intuition-
istic fuzzy environment, Italian Journal of Pure and Applied Math, 38 (2017), 497–318.
[13] P.M. Sithar Selvam, T. Priya, K.T. Nagalakshmi, T. Ramachandran, A note on anti Q-fuzzy
KU-subalgebras and homomorphism of KU-algebras, Bulletin of Mathematics and Statistics
Research, 1(1) (2013), 42–49.
[14] N. Yaqoob, S.M. Mostafa, M.A. Ansari, On cubic KU-ideals of KUalgebras, ISRN Algebra,
(2013), Art. ID 935905, 10 pp.
[15] S. Yuphhin, P. Kankaew, N. Lapo, Picture fuzzy sets in UP-algebras by means of a special
type, Journal of Mathematics and Computer Science, 25(1) (2021), 37–72.
Journal of Algebraic Hyperstructures and Logical Algebras
Volume 2, Issue 4
November 2021
Pages 25-37

Files

Share

How to cite

Statistics