,Embedding Countably Generated Algebras into Simple 2-Generated Algebras

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【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,a

【作者】

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Qiuhui Mo Xiangui Zhao Qingnian Pan

【机构】

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Department of Mathematics, Huizhou University Huizhou, Guangdong 516007, China

【出处】

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代数集刊（英文版）

【发表日期】

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2017年3期

【关键词】

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Gr(o)bner-Shirshov basis associative differential algebra associative Ω-algebra

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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).

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