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Abstract
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.
*Research of the first author,supported by NIRC, was carried out while spending his sabbatical leave at the University of Calgary. The hospitality extended to him is gratefully acknowledged
*Research of the first author,supported by NIRC, was carried out while spending his sabbatical leave at the University of Calgary. The hospitality extended to him is gratefully acknowledged
Notes
*Research of the first author,supported by NIRC, was carried out while spending his sabbatical leave at the University of Calgary. The hospitality extended to him is gratefully acknowledged
