American lime vs linden tree

American lime and linden tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
American lime	Yes	No	No	No
linden tree	Yes	No	No	No

As nouns, linden tree is a hypernym of American lime; that is, linden tree is a word with a broader meaning than American lime:

American lime: large American shade tree with large dark green leaves and rounded crown
linden tree: any of various deciduous trees of the genus Tilia with heart-shaped leaves and drooping cymose clusters of yellowish often fragrant flowers; several yield valuable timber

Other hypernyms of American lime include basswood, lime, lime tree, linden.

American lime (noun)	linden tree (noun)
large American shade tree with large dark green leaves and rounded crown	any of various deciduous trees of the genus Tilia with heart-shaped leaves and drooping cymose clusters of yellowish often fragrant flowers; several yield valuable timber