ON QUASI-STABLE EXCHANGE IDEALS
We introduce, in this article, the quasi-stable exchange ideal for associative rings. If I is a quasi-stable exchange ideal of a ring R, then so is Mn(I) as an ideal of Mn(R). As an application, we prove that every square regular matrix over quasi-stable exchange ideal admits a diagonal reduction by...
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| Published in | Journal of the Korean Mathematical Society Vol. 47; no. 1; pp. 1 - 15 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
대한수학회
01.01.2010
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We introduce, in this article, the quasi-stable exchange ideal for associative rings. If I is a quasi-stable exchange ideal of a ring R, then so is Mn(I) as an ideal of Mn(R). As an application, we prove that every square regular matrix over quasi-stable exchange ideal admits a diagonal reduction by quasi invertible matrices. Examples of such ideals are given as well. KCI Citation Count: 0 |
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| Bibliography: | http://www.mathnet.or.kr/mathnet/thesis_file/01_J07-088.pdf G704-000208.2010.47.1.001 |
| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.2010.47.1.001 |