GrÖbner-shirshov Bases for Free Inverse Semigroups

نویسندگان

  • L. A. Bokut
  • Yuqun Chen
  • Xiangui Zhao
چکیده

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 the Gröbner-Shirshov algorithm to transform any word to its normal form.

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عنوان ژورنال:
  • IJAC

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2009