@article{oai:kitami-it.repo.nii.ac.jp:00006215,
author = {礒部, 煕郎},
issue = {2},
journal = {北見工業大学研究報告},
month = {Mar},
note = {application/pdf, To every element a of semi-ordered linear space E there exist b ａｎｄ c∈E^+ such that a=b-c and we define in [1] that P_a={x: 0＜__?x＜__?b for evry b, c∈E^+ and a=b-c} N_a=P_<-a>. We suppose in E the following postulates : 1) P_a＝{0} implies a≦0, 2) P_⊂P_a-P_b (a, b∈E). We speak of such a semi-ordered linear space as semi-lattice ordered in [1]. In this report we give some examples which stand ill relation to semi-lattice ordered linear spaces, which are as follows : 1. ex. of semi-lattice ordered linear space which is not lattice ordered, 2. ex. of semi-ordered linear space which is not semi-lattice ordered, 3. ex. of semi-lattice ordered linear space which is not Archimedean, etc.},
pages = {327--330},
title = {半順序線型空間に関するいくつかの実例について},
volume = {2},
year = {1968}
}