Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585182 | Journal of Algebra | 2013 | 17 Pages |
Abstract
In the paper we derive a Gröbner–Shirshov algorithm for semirings and commutative semirings. As applications, we obtain Gröbner–Shirshov bases and A. Blassʼs (1995) and M. Fiore and T. Leinsterʼs (2004) normal forms of the semirings N[x]/(x=1+x+x2) and N[x]/(x=1+x2), correspondingly.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory