@article{oai:kitami-it.repo.nii.ac.jp:00006229,
author = {礒部, 煕郎},
issue = {3},
journal = {北見工業大学研究報告},
month = {Feb},
note = {application/pdf, Let S be a linear lattice. A subset N is called ideal whenever N is a linear subspace of S and [x]＜__—[y], y∈N implies x∈N. L. Brown and H. Nakano obtained the following results in [2] : S/N is Archimedean if and only if N has the following property : 0＜__—u, v∈S and (v-1/nu)^+ ∈N (n=1,2,…) implies v∈N. In this note we do not assume lattice order in S. Let S be a semi-ordered linear space (not assume lattice order) and N is called ideal whenever N is linear subspace of S and a＜__—x＜__—b, a, b∈N implies x∈N. We shall investigate a condition about N that S/N is Arvhimadean.},
pages = {475--478},
title = {線形半順序空間の商空問に関する一注意},
volume = {2},
year = {1969}
}