Zobrazeno 1 - 10
of 1 271
pro vyhledávání: '"Diamond Lemma"'
Autor:
Vladimir Dotsenko, Pedro Tamaroff
Publikováno v:
Bulletin of Mathematical Sciences, Vol 14, Iss 03 (2024)
The celebrated Diamond Lemma of Bergman gives an effectively verifiable criterion of uniqueness of normal forms for term rewriting in associative algebras. We revisit that result in the context of deformation theory and homotopical algebra; this lead
Externí odkaz:
https://doaj.org/article/35f3f3e3f675499eb3caeb5f5f2a1a89
Akademický článek
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Autor:
Lopatkin, Viktor
This paper shows how to obtain the key concepts and notations of Garside theory by using the Composition--Diamond lemma. We also show in some cases the greedy normal form is exactly a Gr\"obner--Shirshov normal form and a family of a left-cancellativ
Externí odkaz:
http://arxiv.org/abs/2109.07595
Autor:
Dotsenko, Vladimir, Tamaroff, Pedro
The celebrated Diamond Lemma of Bergman gives an effectively verifiable criterion of uniqueness of normal forms for term rewriting in associative algebras. We present a new way to interpret and prove this result from the viewpoint of homotopical alge
Externí odkaz:
http://arxiv.org/abs/2010.14792
Autor:
Inoué, Takao
This expository and review paper deals with the Diamond Lemma for ring theory, which is proved in the first section of G. M. Bergman, The Diamond Lemma for Ring Theory, Advances in Mathematics, 29 (1978), pp. 178-218. No originality of the present no
Externí odkaz:
http://arxiv.org/abs/2007.13845
Autor:
Elias, Ben
In this paper we give a version of Bergman's diamond lemma which applies to certain monoidal categories presented by generators and relations. In particular, it applies to: the Coxeter presentation of the symmetric groups, the quiver Hecke algebras o
Externí odkaz:
http://arxiv.org/abs/1907.10571
Autor:
Zhang, Guangliang, Chen, Yuqun
Publikováno v:
Algebra Colloquium, 24(1), 323-350 (2017)
Let $Di\langle X\rangle$ be the free dialgebra over a field generated by a set $X$. Let $S$ be a monic subset of $Di\langle X\rangle$. A Composition-Diamond lemma for dialgebras is firstly established by Bokut, Chen and Liu in 2010 \cite{Di} which cl
Externí odkaz:
http://arxiv.org/abs/1702.00119
Autor:
Ni, Lili, Chen, Yuqun
Publikováno v:
Journal of Algebra and Its Applications Vol. 16, No. 5 (2017) 1750094-1--1750094-28
Let $C(B,N)$ be the free associative conformal algebra generated by a set $B$ with a bounded locality $N$. Let $S$ be a subset of $C(B,N)$. A Composition-Diamond lemma for associative conformal algebras is firstly established by Bokut, Fong, and Ke i
Externí odkaz:
http://arxiv.org/abs/1602.03554
Akademický článek
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Publikováno v:
Czech J Math, 60(135)(2010), 59-76.
In this paper we give some relationships among the Groebner-Shirshov bases in free associative algebras, free left modules and "double-free" left modules (free modules over a free algebra). We give the Chibrikov's Composition-Diamond lemma for module
Externí odkaz:
http://arxiv.org/abs/0804.0917