Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields (Q2079634)

The paper under paper continues the investigation of classes of congruence-simple infinite semirings by Katsov and the authors, who suggested a study of Steinberg algebras of Hausdorff ample groupoids over semirings [\textit{Y. Katsov} et al., Semigroup Forum 94, No. 3, 481--499 (2017; Zbl 1388.16046)]. In the present paper the authors ``suggest an investigation of Steinberg algebras over general ample groupoids They provide a classification of congruence-simpleness of such Steinberg algebras in case the underlying groupoid is secondcountable.''