In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra (resp., associative λ-algebra, associa- tive Ω-differential algebra) can be embedded...In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra (resp., associative λ-algebra, associa- tive Ω-differential algebra) can be embedded into a simple 2-generated associative differ- ential algebra (resp., associative Ωalgebra, associative λ-differential algebra).展开更多
文摘In this paper, by using Gr bner-Shirshov bases theories, we prove that each countably generated associative differential algebra (resp., associative λ-algebra, associa- tive Ω-differential algebra) can be embedded into a simple 2-generated associative differ- ential algebra (resp., associative Ωalgebra, associative λ-differential algebra).