Conjectures on additively divisible commutative semirings
Tomáš Kepka, Miroslav Korbelář · Mathematica Slovaca · 2016
Abstract We present a series of open questions about finitely generated commutative semirings with divisible additive semigroup. In this context we show that a finitely generated additively divisible commutative semiring is idempotent, provided that it is torsion. In the particular case of a one-generated additively divisible semiring without unit, such a semiring must contain an ideal of idempotent elements.