ON FULLY FILIAL TORSION RINGS

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.B180030

R. Andruszkiewicz, K. Pryszczepko

引用次数: 1

Abstract

Rings in which all accessible subrings are ideals are called filial. A ring R is called fully filial if all its subrings are filial (that is rings in which the relation of being an ideal is transitive). The present paper is devoted to the study of fully filial torsion rings. We prove a classification theorem for semiprime fully filial torsion rings.

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上满孝扭环

所有可接近的子环都是理想的环被称为顺环。如果一个环R的所有子环都是顺环(即环中作为理想的关系是可传递的)，那么它就被称为完全顺环。本文主要研究全孝扭转环。证明了半素数完全子扭转环的一个分类定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).