An internal characterisation of structural matrix rings
作者:
Kirby C. Smith,
Leon van Wyk,
期刊:
Communications in Algebra
(Taylor Available online 1994)
卷期:
Volume 22,
issue 14
页码: 5599-5622
ISSN:0092-7872
年代: 1994
DOI:10.1080/00927879408825149
出版商: Gordon and Breach Science Publishers Ltd.
关键词: matrix ring;matrix unit;16S50
数据来源: Taylor
摘要:
It is known that structural matrix rings pro-vide a natural passage from complete matrix rings to upper and lower triangular matrix rings, and they often explain the peculiarities regarding certain properties of complete matrix rings on the one hand and of triangular matrix rings on the other hand. In this paper the concept of a set of matrix units in a ring associated with a quasi-order relation is introduced and used to provide an internal char-acterisation of structural matrix rings.
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