TY - JOUR
ID - 130536
TI - State hyper BE-algebras
JO - Journal of Algebraic Hyperstructures and Logical Algebras
JA - JAHLA
LA - en
SN - 2676-6000
AU - Cheng, X.Y.
AU - Xin, X.L.
AD - School of Science, Xi'an Aeronautical University, Xi'an, 710077, China
AD - Department mathematics, northwest university, xian, china
Y1 - 2021
PY - 2021
VL - 2
IS - 3
SP - 1
EP - 12
KW - Hyper BE-algebra
KW - state operator
KW - state hyper BE-algebra
KW - state hyper filter
KW - state hyper congruence
DO - 10.52547/HATEF.JAHLA.2.3.1
N2 - In this paper, state operators on hyper BE-algebras (correspondingly, state hyper BE-algebras) are introduced and studied. State hyper filters are introduced and generated state hyper filters are represented in state hyper BE-algebras. Also, maximal (prime) state hyper filters are characterised and the relations between state maximal hyper filters and state prime hyper filters are discussed. Moreover, some related results of state (compatible) hyper congruence are obtained. Especially, it follows that there is an isotone bijection between all state strong regular $\circ$-reflexive hyper filter $\mathcal{F}_s(H,\xi)$ and all state compatible hyper congruence $\mathcal{C}_s(H,\xi)$ on state commutative transitive RD-hyper BE-algebra $(H,\xi)$.
UR - http://jahla.hatef.ac.ir/article_130536.html
L1 - http://jahla.hatef.ac.ir/article_130536_bea056a15df21448a6b79a652f75b108.pdf
ER -