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Morita-equivalent rings are isomorphic

✍ Scribed by Luc Bonami


Book ID
112499619
Publisher
Springer
Year
1980
Tongue
English
Weight
150 KB
Volume
34
Category
Article
ISSN
0003-889X

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Morita-Equivalent Row-Finite Matrix Ring
✍ J.J. Simon πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 148 KB

We show that for any ring \(R\) and any ring \(T\), if \(\operatorname{RFM}(R)\) is Morita equivalent to \(T\), then \(\operatorname{RFM}(R)\) is isomorphic to \(M_{n}(T)\) for some integer \(n\). We then use this to strengthen some results of Bonami and Camillo. 1995 Academic Press, Inc.

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In this paper interesting families of designs are constructed and studied. First, a family of cyclic 2-(4 n, 3, 2) designs is constructed with the property that each design has two different cyclic structures. This appears to be the first example of any cyclic t-(v, k, )t) designs which are isomorph