Bulletin of Faculty of Health Sciences Okayama University Medical School
Published by Faculty of Health Sciences Okayama University Medical School

<Formerly known as>
岡山大学医療技術短期大学部紀要 (1巻-9巻)

安定群の上の位相について

Abstract
In the theory of Linear algebraic groups, Zariski topology plays a crucial role. We introduce some topologies on general abstract groups generalizing Zariski topology in some sense. Especially we focus on stable groups, because not only the similarity of them with respect to some structure theorems but also we are interested in stable groups for their own right. In Linear algebraic groups, they have a descending chain condition on closed sebsets. Hence we may introduce some topologies on stable groups in order to satisfy the descending chain conditions on closed subsets whatever the topology is. According to this guide line we introduce some topologies stable groups and omega-stable groups.
Keywords
stable groups
Z-groups
descending chain conditions
ISSN
0917-4494
NCID
AN10355371