Composition-diamond lemma for non-associative algebras over a polynomial algebra

zbMath1232.17010arXiv1009.0196MaRDI QIDQ717290

Yuqun Chen, Mingjun Zeng, Jing Li

Publication date: 29 September 2011

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0196

zbMATH Keywords

commutative algebraGröbner-Shirshov basisnonassociative algebracomposition-diamond lemma

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) General theory of nonassociative rings and algebras (17A01)

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Gröbner-Shirshov bases for semirings. ⋮ Gröbner–Shirshov basis method for multiple tensor products of some associative algebras ⋮ Gröbner-Shirshov bases for Lie algebras over a commutative algebra ⋮ Gröbner–Shirshov bases and their calculation

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