On H-separable extensions of primitive rings
type: Item
instance of: scholarly article
title: On H-separable extensions of primitive rings
zbMATH Open document ID: 0622.16004
author: Kozo Sugano
published in: Hokkaido Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: A ring is called strongly primitive if it has a faithful minimal left ideal. In this paper, assuming that B is a strongly primitive ring with socle S and A an H-separable extension of B such that A is finitely generated and projective as left B-module, it is shown that A is strongly primitive if and only if \(ASA\cap B=S\).
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 16S20
zbMATH DE Number: 4008592
zbMATH Keywords: strongly primitive ring
zbMATH Keywords: socle
zbMATH Keywords: H-separable extension
reviewed by: José L. Gómez-Pardo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381517928
OpenAlex ID: W4251938774
DOI: 10.14492/HOKMJ/1381517928
description: scientific article; zbMATH DE number 4008592