Study of formal triangular matrix rings
作者:
A. Haghany,
K. Varadarajan,
期刊:
Communications in Algebra
(Taylor Available online 1999)
卷期:
Volume 27,
issue 11
页码: 5507-5525
ISSN:0092-7872
年代: 1999
DOI:10.1080/00927879908826770
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
In this paper we carry out a systematic study of various ring theoretic properties of formal triangular matrix rings. Some definitive results are obtained on these rings concerning properties such as being respectively left Kasch, right mininjective, clean, potent, right PF or a ring of stable rank ≤n. The concepts of a strong left Kasch ring, a strong right mininjective ring are introduced and it is determined when the triangular matrix rings are respectively strong left Kasch or strong right mininjective. It is also proved that being strong left Kasch or strong right mininjective are Morita invariant properties.
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