Classical quotient rings of generalized matrix rings
An associative ring R with identity is a generalized matrix ring with idempotent set E if E is a finite set of orthogonal idempotents of R whose sum is 1. We show that, in the presence of certain annihilator conditions, such a ring is semiprime right Goldie if and only if eRe is semiprime right Gold...
Saved in:
| Main Authors: | David G. Poole, Patrick N. Stewart |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000391 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS
by: Meryta Febrilian Fatimah, et al.
Published: (2022-09-01) -
Zero Divisor Graph of Quotient Ring
by: Ayunda Faizatul Musyarrofah, et al.
Published: (2024-11-01) -
On a Quotient Ring That Satisfies Certain Identities via Generalized Reverse Derivations
by: Nawaf L. Alsowait, et al.
Published: (2025-03-01) -
Generalized derivations of order $2$ on multilinear polynomials in prime rings
by: B. Prajapati, et al.
Published: (2022-10-01) -
On Ideals and Behavior of Quotient Rings via Generalized (<i>α</i>,<i>β</i>)-Derivations
by: Nawaf L. Alsowait, et al.
Published: (2025-03-01)