Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Chen, Yongshan"'
Autor:
Chen, Yongshan, Chen, Yuqun
Publikováno v:
Journal of Algebra, 358 (2012), 143-161
In this paper, we establish the Gr\"{o}bner-Shirshov bases theory for metabelian Lie algebras. As applications, we find the Gr\"{o}bner-Shirshov bases for partial commutative metabelian Lie algebras related to circuits, trees and some cubes.
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Externí odkaz:
http://arxiv.org/abs/1106.2362
Publikováno v:
Journal of Algebra 337 (2011) 82--102
In this paper we establish a Gr\"{o}bner-Shirshov bases theory for Lie algebras over commutative rings. As applications we give some new examples of special Lie algebras (those embeddable in associative algebras over the same ring) and non-special Li
Externí odkaz:
http://arxiv.org/abs/1006.3217
Publikováno v:
The Arabian Journal for Science and Engineering, 34(2A)(2009), 135-145.
In this paper, we establish the Composition-Diamond lemma for free differential algebras. As applications, we give Groebner-Shirshov bases for free Lie-differential algebra and free commutative-differential algebra, respectively.
Externí odkaz:
http://arxiv.org/abs/0805.2327
Publikováno v:
Journal of Algebra, 323(2010), 2520-2537.
In this paper, we establish Composition-Diamond lemma for tensor product $k< X> \otimes k< Y>$ of two free algebras over a field. As an application, we construct a Groebner-Shirshov basis in $k< X> \otimes k< Y>$ by lifting a Groebner-Shirshov basis
Externí odkaz:
http://arxiv.org/abs/0804.2115
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