Zero Divisors in Associative Algebras over Infinite Fields

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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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Rings and Algebras, Commutative Algebra, 16-01 (Primary) 13-01, 15-01 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/78297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903182
 http://arxiv.org/abs/math/9903182

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arXiv