TY - JOUR
ID - 232
TI - Lattice of weak hyper K-ideals of a hyper K-algebra
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Bakhshi, M.
AD - Department of Mathematics, University of Bojnord, P.O.Box 1339, Bojnord, Iran.
Y1 - 2014
PY - 2014
VL - 1
IS - 2
SP - 135
EP - 147
KW - Hyper K-ideals
KW - weak hyper K-ideals
KW - Boolean lattice
DO - 10.22044/jas.2014.232
N2 - In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure operator, we study the lattice of all weak hyper K-ideals of a hyper K-algebra, and we prove a special subclass of this class together with the suitable operations forms a Boolean lattice.
UR - https://jas.shahroodut.ac.ir/article_232.html
L1 - https://jas.shahroodut.ac.ir/article_232_fe64e3c27374bc5dcee6428ef6fbdbec.pdf
ER -