Appellate jurisdicton
No, the Supreme Court reviews decisions of lower (inferior) courts under its appellate jurisdiction.
Appellate courts in the Judicial Branch have jurisdiction (power, authority) to review lower court decisions if the appellate court receives the case on appeal. The courts do not routinely review lower court decisions, otherwise.
Whatever appellate court is immediately above the trial court in that particular court system.
The Supreme Court's appellate jurisdiction allows it to review the constitutionality of the federal lower courts' decisions, and of state supreme court decisions that involve a matter of federal or constitutional law. Judicial review refers more specifically to the power of the Supreme Court to review legislation and acts of Congress and the President (the Legislative and Executive branches) to unsure they confirm to the principles of the constitution, and to overrule laws that are unconstitutional.
Judicial review is the process that lets the Supreme Court decide whether lower court decisions and laws are in keeping with the intent of the constitution.
An APPELATE Court - a Court of Appeals has appellate jurisdiction.
Centiorari or Writ of Centiorari
Twelve of the thirteen US Court of Appeals Circuit Courtshave appellate jurisdiction over cases heard in the 94 US District Courts. The Circuit Courts review decisions or other facets of cases that have been sent them on appeal.
The dissent uses the majority opinion as evidence.
They are called precedents. If the decision was made by a court with jurisdiction over a lower court, they are called binding precedents because the lower court is required to apply the same reasoning in similar cases under the doctrine of stare decisis.
per curiam
A writ of certiorari is an order that allows the Supreme Court to review lower court cases. This writ is not limited to the Supreme Court, it may be used by any appellate court needing to review a case.