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- L. A. Bokut, Yuqun Chen, Xiangui Zhao
- IJAC
- 2009

A new construction for free inverse semigroups was obtained by Poliakova and Schein in 2005. Based on their result, we find Gröbner-Shirshov bases for free inverse semigroups with respect to the deg-lex order of words. In particular, we give the (unique and shortest) normal forms in the classes of equivalent words of a free inverse semigroup together with… (More)

- Xiangui Zhao
- ACM Comm. Computer Algebra
- 2013

Introduction. Differential-difference algebras were defined by Mansfield and Szanto in [5], which arose from the calculation of symmetries of discrete systems (c.f., [2]). Mansfield and Szanto developed the Gröbner basis theory of differential difference algebras over a field by using a special kind of left admissible orderings (which they called… (More)

- Yang Zhang, Xiangui Zhao
- ACM Comm. Computer Algebra
- 2015

A new construction of a free inverse semigroup was obtained by Poliakova and Schein in 2005. Based on their result, we find a Gröbner-Shirshov basis of a free inverse semigroup relative to the deg-lex order of words. In particular, we give the (unique and shortest) Gröbner-Shirshov normal forms in the classes of equivalent words of a free inverse semigroup… (More)

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