Gröbner–Shirshov bases for brace algebras
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DOI: 10.1080/00927872.2018.1448846
Abstract: ABSTRACT Let A be a brace algebra. This structure implies that A is also a pre-Lie algebra. In this paper, we establish Composition-Diamond lemma for brace algebras. For each pre-Lie algebra L, we find a… read more here.
Keywords: shirshov bases; bases brace; bner shirshov; pre lie ... See more keywords
Gröbner–Shirshov bases for symmetric brace algebras
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DOI: 10.1080/00927872.2020.1821699
Abstract: Abstract In this paper, we develop Gröbner–Shirshov basis theory for symmetric brace algebras. As applications, firstly, we give an alternative proof that the category of symmetric brace algebras is isomorphic to the category of pre-Lie… read more here.
Keywords: symmetric brace; bner shirshov; lie algebra; pre lie ... See more keywords