Moore added five rebounds for the Spartans (3-0). Alvaro Cardenas Torre hit three 3-pointers and scored 17.
Isaiah Range led the way for the Hornets (0-4) with 18 points. Alex Anderson added 10 points, while Antonio Madlock scored nine.
San Jose State carried a slim three-point lead into halftime, as Moore led the way with 13 points.
Up next for San Jose State is a matchup Thursday with Hofstra at home. Alabama State visits Pittsburgh on Sunday.
The Associated Press created this story using technology provided by Data Skrive and data from Sportradar.
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