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- Title
Relative locations of subwords in free operated semigroups and Motzkin words.
- Authors
Zheng, Shanghua; Guo, Li
- Abstract
Bracketed words are basic structures both in mathematics (such as Rota-Baxter algebras) and mathematical physics (such as rooted trees) where the locations of the substructures are important. In this paper, we give the classification of the relative locations of two bracketed subwords of a bracketed word in an operated semigroup into the separated, nested, and intersecting cases. We achieve this by establishing a correspondence between relative locations of bracketed words and those of words by applying the concept of Motzkin words which are the algebraic forms of Motzkin paths.
- Subjects
MATHEMATICAL physics; REWRITING systems (Computer science); GROBNER bases; SEMIGROUPS (Algebra); FEYNMAN diagrams; BIJECTIONS
- Publication
Frontiers of Mathematics in China, 2015, Vol 10, Issue 5, p1243
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-014-0379-1