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math.RAJan 8, 2011
2
citations (OpenAlex)
authors
  • L. A. Bokut
  • Yuqun Chen
  • Yu Li
institutions
  • Russian Academy of Sciences
  • Sobolev Institute of Mathematics
  • South China Normal University
arXiv abstractPDF
paper

Gröbner-Shirshov bases for categories

arXiv:1101.1563

Abstract

In this paper we establish Composition-Diamond lemma for small categories. We give Gröbner-Shirshov bases for simplicial category and cyclic category.

20 pages

References in corpus (7)

  • Composition-Diamond Lemma for Tensor Product of Free Algebras
  • Groebner-Shirshov Bases for Lie Algebras: after A. I. Shirshov
  • Gröbner-Shirshov bases for Lie algebras over a commutative algebra
  • Planar trees, free nonassociative algebras, invariants, and elliptic integrals
  • Anti-commutative Groebner-Shirshov basis of a free Lie algebra
  • Composition-Diamond lemma for associative n-conformal algebras
  • Filtrations and Distortion in Infinite-Dimensional Algebras

Cited by in corpus (1)

  • Gröbner-Shirshov bases and PBW theorems
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