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WordNet
lesser omentum

n. a part of the peritoneum attached to the stomach and liver and supporting the hepatic vessels

Wikipedia
Lesser omentum

The lesser omentum (small omentum or gastrohepatic omentum) is the double layer of peritoneum that extends from the liver to the lesser curvature of the stomach (hepatogastric ligament) and the first part of the duodenum (hepatoduodenal ligament).