@article{Vielma_Marchan_2018, title={Topological characterization of Gelfand and zero dimensional semirings}, volume={19}, url={https://polipapers.upv.es/index.php/AGT/article/view/7952}, DOI={10.4995/agt.2018.7952}, abstractNote={Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology. Let Max R denote the set of all maximals prime ideals of R. We prove that the two topologies coincide on Spec(R) and on Max R if and only if R is zero dimensional and Gelfand semiring, respectively.}, number={2}, journal={Applied General Topology}, author={Vielma, Jorge and Marchan, Luz}, year={2018}, month={Oct.}, pages={217–222} }