Direct product decomposition of zero-product-associative rings without nilpotent elements
Alexander Abian (1978)
Colloquium Mathematicae
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Displaying similar documents to “Rings generalized by tripotents and nilpotents”
Direct product decomposition of zero-product-associative rings without nilpotent elements
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A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent. Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite...
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