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anti-idempotent
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(Definition)
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An element $x$ of a ring is called an anti-idempotent element, or simply an anti-idempotent if $x^2=-x$
The term is most often used in linear algebra. Every anti-idempotent matrix over a field is diagonalizable. Two anti-idempotent matrices are similar if and only if they have the same rank.
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"anti-idempotent" is owned by mathcam.
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Cross-references: rank, similar, diagonalizable, field, matrix, linear algebra, term, ring
There is 1 reference to this entry.
This is version 1 of anti-idempotent, born on 2003-07-23.
Object id is 4501, canonical name is AntiIdempotent.
Accessed 2063 times total.
Classification:
| AMS MSC: | 16U99 (Associative rings and algebras :: Conditions on elements :: Miscellaneous) |
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Pending Errata and Addenda
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