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The Minimum Number of Idempotent Generators of an Upper Triangular Matrix Algebra

โœ Scribed by A.V Kelarev; A.B van der Merwe; L van Wyk

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
161 KB
Volume
205
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

In order to prove the result mentioned above, we show that R s log m 2 for every m G 2, where R ลฝ m. denotes the direct sum of m copies of R. The ลฝ . latter result corrects an error by N.

๐Ÿ“œ SIMILAR VOLUMES

The Minimum Number of Idempotent Generat
The Minimum Number of Idempotent Generators of a Complete Blocked Triangular Matrix Algebra
โœ A.B. van der Merwe; L. van Wyk ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

Let R be a complete blocked triangular matrix algebra over an infinite field F. Assume that R is not an upper triangular matrix algebra or a full matrix algebra. ลฝ . We prove that the minimum number s R such that R can be generated as an F-algebra by idempotents, is given by where m is the number