Zero Divisors in Associative Algebras over Infinite Fields
classification
🧮 math.RA
math.AC
keywords
associativedivisorsinfinitezeroalgebrasaudienceelementaryf-algebra
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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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