In this paper, we introduce a new algebraic structure, called a UP-algebra (UP means the University of Phayao) and a concept of UP-ideals, UP-subalgebras, congruences and UP-homomorphisms in UP-algebras, and investigated some related properties of them. We also describe connections between UP-ideals, UP-subalgebras, congruences and UP-homomorphisms, and show that the notion of UP-algebras is a generalization of KU-algebras.
Iampan, A. (2017). A new branch of the logical algebra: UP-algebras. Journal of Algebra and Related Topics, 5(1), 35-54. doi: 10.22124/jart.2017.2403
MLA
A. Iampan. "A new branch of the logical algebra: UP-algebras". Journal of Algebra and Related Topics, 5, 1, 2017, 35-54. doi: 10.22124/jart.2017.2403
HARVARD
Iampan, A. (2017). 'A new branch of the logical algebra: UP-algebras', Journal of Algebra and Related Topics, 5(1), pp. 35-54. doi: 10.22124/jart.2017.2403
VANCOUVER
Iampan, A. A new branch of the logical algebra: UP-algebras. Journal of Algebra and Related Topics, 2017; 5(1): 35-54. doi: 10.22124/jart.2017.2403
)