Group inversion in certain finite-dimensional algebras generated by two idempotents (Q692573)
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scientific article; zbMATH DE number 6112929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Group inversion in certain finite-dimensional algebras generated by two idempotents |
scientific article; zbMATH DE number 6112929 |
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Group inversion in certain finite-dimensional algebras generated by two idempotents (English)
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6 December 2012
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The paper is purely algebraic in nature. As a first result, the full description of all algebras, generated by two tightly coupled idempotents, is presented. The paper gives a full description of all algebras with dimension not more than \(4\), generated by two idempotents. There are also given some sufficient conditions for the generating idempotents so that the algebra itself would be group invertible.
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idempotents
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finite-dimensional algebras
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group inversion
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tightly coupled idempotents
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Drazin index
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