Article ID Journal Published Year Pages File Type
4585182 Journal of Algebra 2013 17 Pages PDF
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