Volume
220
Year
2016
Page
1525–1537
Source
Journal of Pure and Applied Algebra
Format Published
pdf
Abstract
In this paper, we study rings having the property that every right ideal is auto-morphism-invariant. Such rings are called right a-rings. It is shown that (1)aright a-ring is a direct sum of a square-full semisimple artinian ring and a right square-free ring, (2) a ring Ris semisimple artinian if and only if the matrix ring Mn(R)is a right a-ring for some n >1, (3) every right a-ring is stably-finite, (4)aright a-ring is von Neumann regular if and only if it is semiprime, and (5)aprime right a-ring is simple artinian. We also describe the structure of an indecomposable right artinian right non-singular right a-ring as a triangular matrix ring of certain block matrices.
Call. No.
EA 3
IndexDate
1397/09/27
Indexer
Dashagha
Title of Article
Rings with each right ideal automorphism-invariant
RecordNumber
3
Author/Authors