Zero Divisors in Associative Algebras over Infinite Fields
环与代数
2007-05-23 v1 交换代数
摘要
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.
引用
@article{arxiv.math/9903182,
title = {Zero Divisors in Associative Algebras over Infinite Fields},
author = {Michael Schweitzer and Steven Finch},
journal= {arXiv preprint arXiv:math/9903182},
year = {2007}
}