Embedding Countably Generated Algebras into Simple 2-Generated Algebras

• 来源期刊: 代数集刊（英文版）
• 关键词: Gr(o)bner-Shirshov basis associative differential algebra associative Ω-algebra associative λ-differential algebra
• 年，卷（期）: 2017,（3）
• 页码范围: 493-508
• 页数: 16页
• 语种: 英文
• DOI: 10.1142/S1005386717000323

摘要

In this paper,by using Gr(o)bner-Shirshov bases theories,we prove that each countably generated associative differential algebra (resp.,associative Ω-algebra,associative λ-differential algebra) can be embedded into a simple 2-generated associative differential algebra (resp.,associative Ω-algebra,associative λ-differential algebra).