4 papers · 1 filter
On Steinberg algebras of Hausdorff ample groupoids over commutative semirings
Tran Giang Nam, Jens Zumbrägel
We investigate the algebra of a Hausdorff ample groupoid, introduced by Steinberg, over a commutative semiring S. In particular, we obtain a complete characterization of congruence…
On Simpleness of Semirings and Complete Semirings
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, among other results, there are described (complete) simple - simultaneously ideal- and congruence-simple - endomorphism semirings of (complete) idempotent commutativ…
On simple ringoids
Jens Zumbrägel
A ringoid is a set with two binary operations that are linked by the distributive laws. We study special classes of ringoids that are congruence-simple or ideal-simple. In particul…
Classification of finite congruence-simple semirings with zero
Jens Zumbrägel
Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a `dense' subsemiring of the endomor…