Ascents and descents of semistar operations and localizing systems. II
type: Item
instance of: scholarly article
zbMATH Open document ID: 1247.13023
author: Ryûki Matsuda
publication date: 2012-05-11T00:00:00Z
full work available at URL: 6547.htm
Mathematics Subject Classification ID: 13G05
zbMATH DE Number: 6033804
zbMATH Keywords: semistar operation
zbMATH Keywords: localizing system
zbMATH Keywords: integral domain
zbMATH Keywords: g-monoid
MaRDI profile type: Publication
title: Ascents and descents of semistar operations and localizing systems. II
published in: JP Journal of Algebra, Number Theory and Applications
review text: Let \(D\) be an integral domain, for any extension domain \(T\) of \(D\), the concepts of ascents and descents of semistar operations and localizing systems were introduced by the author in the first part [Int. Electron. J. Algebra 7, 152--160 (2010; Zbl 1209.13011)], and their basic properties were also given. In this paper, he gives a large number of counterexamples to show many relations of these basic properties of semistar operations and localizing systems are strict.
reviewed by: Fanggui Wang
description: scientific article; zbMATH DE number 6033804