Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672866 | Indagationes Mathematicae | 2012 | 18 Pages |
Abstract
Invertibility in Banach algebras generated by two idempotents can be checked with the help of a theorem by Roch, Silbermann, Gohberg, and Krupnik. This theorem cannot be used to study generalized invertibility. The present paper is devoted to group invertibility in two types of finite-dimensional algebras which are generated by two idempotents, algebras generated by two tightly coupled idempotents on the one hand and algebras of dimension at most four on the other. As a side product, the paper gives the classification of all at most four-dimensional algebras which are generated by two idempotents.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
A. Böttcher, I.M. Spitkovsky,