Classical quotient rings of generalized matrix rings

David G. Poole and Patrick N. Stewart

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-6

Abstract:

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 e R e is semiprime right Goldie for all e ∈ E , and we calculate the classical right quotient ring of R .

Date: 1995
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/18/710610.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/18/710610.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:710610

DOI: 10.1155/S0161171295000391

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().