Congruence-simple semirings without nilpotent elements

Author:

Kepka Tomáš1,Korbelář Miroslav2,Landsmann Günter3

Affiliation:

1. Department of Algebra, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic

2. Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27 Prague 6, Czech Republic

3. Research Institute for Symbolic Computation, Johannes Kepler University, Altenbergerstr, 69, A-4040 Linz, Austria

Abstract

In this paper, we provide a classification of congruence-simple semirings with a multiplicatively absorbing element and without nontrivial nilpotent elements.

Funder

Austrian Science Fund

Czech Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

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