论文部分内容阅读
Bokut,Chen and Huang proved that every countably generated L-algebra over a countable field can be embedded into a simple two-generated L-algebra.In this paper,we prove that every countably generated L-algebra can be embedded into a simple two-generated L-algebra.We also prove that every anti-commutative algebra can be embedded into a simple anti-commutative algebra,and that every countably generated anti-commutative algebra can be embedded into a simple two-generated anti-commutative algebra.Finally,we prove that every anti-commutative algebra can be embedded into its universal enveloping non-associative algebra.