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Algebras generated by two idempotents

✍ Scribed by Thomas J. Laffey

Book ID
107824873
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
510 KB
Volume
37
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

On certain finite-dimensional algebras g
On certain finite-dimensional algebras generated by two idempotents
✍ A. BΓΆttcher; I.M. Spitkovsky πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 272 KB

This paper is concerned with algebras generated by two idempotents P and Q satisfying (PQ ) m = (QP) m and (PQ ) m-1 = (QP) m-1 . The main result is the classification of all these algebras, implying that for each m β‰₯ 2 there exist exactly eight nonisomorphic copies. As an application, it is shown t

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✍ Gary F. Birkenmeier; Henry E. Heatherly; Jin Yong Kim; Jae Keol Park πŸ“‚ Article πŸ“… 2002 πŸ› Akadmiai Kiad 🌐 English βš– 281 KB
OnC*-Algebras Generated by Idempotents
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✍ Naum Krupnik; Steffen Roch; Bernd Silbermann πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 693 KB

The topic of the present paper is concrete Banach and C\*-algebras which are generated by a finite number of idempotents. Our first result is that, for each finitely generated Banach algebra A, there is a number n 0 so that the algebra A n\_n of all n\_n matrices with entries in A is generated by th