Non-associative Gröbner bases

[图书][B] Algebraic operads: an algorithmic companion

MR Bremner, V Dotsenko - 2016 - books.google.com

This book presents a systematic treatment of Grobner bases in several contexts. The book
builds up to the theory of Grobner bases for operads due to the second author and …

被引用次数：122 相关文章所有 4 个版本

[PDF] arxiv.org

Planar trees, free nonassociative algebras, invariants, and elliptic integrals

V Drensky, R Holtkamp - arXiv preprint arXiv:0710.0493, 2007 - arxiv.org

We consider absolutely free nonassociative algebras and, more generally, absolutely free
algebras with (maybe infinitely) many multilinear operations. Such algebras are described in …

被引用次数：23 相关文章所有 15 个版本

[PDF] arxiv.org

Free associative algebras, noncommutative Grobner bases, and universal associative envelopes for nonassociative structures

MR Bremner - arXiv preprint arXiv:1303.0920, 2013 - arxiv.org

These are the lecture notes from my short course of the same title at the CIMPA Research
School on Associative and Nonassociative Algebras and Dialgebras: Theory and Algorithms …

被引用次数：7 相关文章所有 17 个版本

An extension of Gröbner basis theory to indexed polynomials without eliminations

J Liu - Journal of Systems Science and Complexity, 2020 - Springer

In computer algebra, it remains to be challenging to establish general computational
theories for determining the equivalence of indexed polynomials. In previous work, the …

被引用次数：2 相关文章所有 2 个版本

[PDF] sciencedirect.com