@article {
author = {Bakhshi, M.},
title = {Lattice of weak hyper K-ideals of a hyper K-algebra},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {2},
pages = {135-147},
year = {2014},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2014.232},
abstract = {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.},
keywords = {Hyper K-ideals,weak hyper K-ideals,Boolean lattice},
url = {https://jas.shahroodut.ac.ir/article_232.html},
eprint = {https://jas.shahroodut.ac.ir/article_232_fe64e3c27374bc5dcee6428ef6fbdbec.pdf}
}