28 citations · 81 across the 14 of their papers we have counts for
Showing 2012 · math.RAShow all
2 papers · 2 filters
math.RA2012★ 20 cited
Exact rings and semirings
David Wilding, Marianne Johnson, Mark Kambites
We introduce and study an abstract class of semirings, which we call exact semirings, defined by a Hahn-Banach-type separation property on modules. Our motivation comes from the tr…
math.RA2012★ 2 cited
Idempotent tropical matrices and finite metric spaces
Marianne Johnson, Mark Kambites
There is a well known correspondence between the triangle inequality for a distance function on a finite set, and idempotency of an associated matrix over the tropical semiring. Re…