Günter Landsmann

collaborators

2 papers

math.RA2022

Congruence-simple multiplicatively idempotent semirings

Tomáš Kepka, Miroslav Korbelář, Günter Landsmann

Let $S$ be a multiplicatively idempotent congruence-simple semiring. We show that $∣ S ∣ = 2$ if $S$ has a multiplicatively absorbing element. We also prove that if $S$ is finite then…

math.RA2022

Congruence-simple semirings without nilpotent elements

Tomáš Kepka, Miroslav Korbelář, Günter Landsmann

We provide a classification of congruence-simple semirings with a multiplicatively absorbing element and without non-trivial nilpotent elements.