TY - JOUR
AU - Vielma, Jorge
AU - Marchan, Luz
PY - 2018/10/04
Y2 - 2024/08/16
TI - Topological characterization of Gelfand and zero dimensional semirings
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 19
IS - 2
SE -
DO - 10.4995/agt.2018.7952
UR - https://polipapers.upv.es/index.php/AGT/article/view/7952
SP - 217-222
AB - 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.
ER -