Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (4)
- Authors
- Bokut, Leonid A.; Chen, Yuqun
- Contact information
- Bokut, Leonid A.:Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China;bokut@math.nsc.ru; Chen, Yuqun:School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China;yqchen@scnu.edu.cn
- Keywords
- Grebner-Shirshov basis; Composition-Diamond lemma; PBW theorem; normal form, group; extension; semigroup
- Abstract
We review some applications of Gr¨obner-Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebras
- Pages
- 417–427
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10064
Journal of Siberian Federal University. Mathematics & Physics / Grobner-Shirshov Bases and PBW Theorems
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