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arXiv:math/9903182 [math.RA]AbstractReferencesReviewsResources

Zero Divisors in Associative Algebras over Infinite Fields

Michael Schweitzer, Steven Finch

Published 1999-03-30Version 1

Let F be an infinite field. We prove that the right zero divisors of a three-dimensional associative F-algebra A must form the union of at most finitely many linear subspaces of A. The proof is elementary and written with students as the intended audience.

Categories: math.RA, math.AC
Subjects: 16-01, 13-01, 15-01
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