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TitleGr\"obner-Shirshov bases for categories.
Author(s) Yuri A. Blinkov, Leonid A. Bokut, Yu-Fu Chen
TypeBook, Chapter in Book, Conference Proceeding
AbstractIn this paper, we give a short survey of Gröbner-Shirshov bases in algebra. We establish Composition-Diamond lemma for categories that is closely related to non-commutative Gröbner bases for quotients of path algebras. Gröbner-Shirshov bases for simplicial category and cyclic category are obtained.

KeywordsGröbner-Shirshov basis; simplicial category; cyclic category
ISBN978-981-4365-11-6/hbk; 978-981
URL http://www.worldscientific.com/doi/10.1142/9789814365123_0001
LanguageEnglish
Pages1--23
PublisherHackensack, NJ: World Scientific
Year2012
Edition0
Translation No
Refereed No
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