Open AccessCommutative morphic rings of stable range 2
Author(s) -
Oksana Pihura,
Bohdan Zabavsky
Publication year - 2020
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
Language(s) - English
Resource type - Journals
eISSN - 2409-8906
pISSN - 2072-9812
DOI - 10.15673/tmgc.v8i3-4.1608
Subject(s) - ring (chemistry) , commutative ring , commutative property , range (aeronautics) , mathematics , reduced ring , pure mathematics , principal ideal ring , chemistry , engineering , organic chemistry , aerospace engineering
It is know that a left quasi-morphic ring R is a ring of stable range 1 if and only if dim R = 0.
In this paper it is shown that a commutative morphic ring R is a ring of stable range 2 if and only if dimR= 1.