Zero Divisors in Associative Algebras over Infinite Fields

Details Zero Divisors in Associative Algebras over Infinite Fields Zero Divisors in Associative Algebras over Infinite Fields

1999-03-30

arxiv.org/abs/math/9903182v1

Mathematics

Rings and Algebras

Scientific paper

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.

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