Embedding Countably Generated Algebras into Simple 2-Generated Algebras

作者：Mo, Qiuhui^*; Zhao, Xiangui; Pan, Qingnian

来源：Algebra Colloquium, 2017, 24(3): 493-508.

DOI：10.1142/S1005386717000323

• Grobner-Shirshov basis
• associative differential algebra
• associative Omega-algebra
• associative lambda-differential algebra

In this paper, by using Grobner-Shirshov bases theories, we prove that each countably generated associative differential algebra (resp., associative Omega-algebra, associative lambda-differential algebra) can be embedded into a simple 2-generated associative differential algebra (resp., associative Omega-algebra, associative lambda-differential algebra).

• 出版日期2017-9
• 单位惠州学院