English

Invertible matrices over finite additively idempotent semirings

Rings and Algebras 2012-08-13 v2

Abstract

We investigate invertible matrices over finite additively idempotent semirings. The main result provides a criterion for the invertibility of such matrices. We also give a construction of the inverse matrix and a formula for the number of invertible matrices.

Keywords

Cite

@article{arxiv.1112.5990,
  title  = {Invertible matrices over finite additively idempotent semirings},
  author = {Andreas Kendziorra and Stefan E. Schmidt and Jens Zumbrägel},
  journal= {arXiv preprint arXiv:1112.5990},
  year   = {2012}
}

Comments

11 pages