lace vs shoe lace

lace and shoe lace both are nouns.

Word	Noun	Adjective	Verb	Adverb
lace	Yes	No	Yes	No
shoe lace	Yes	No	No	No

As nouns, shoe lace is a hyponym of lace; that is, shoe lace is a word with a more specific, narrower meaning than lace:

lace: a cord that is drawn through eyelets or around hooks in order to draw together two edges (as of a shoe or garment)
shoe lace: a lace used for fastening shoes

Other hyponyms of lace include bootlace, shoe string, shoelace, shoestring.

lace (noun)	shoe lace (noun)
a delicate decorative fabric woven in an open web of symmetrical patterns	a lace used for fastening shoes
a cord that is drawn through eyelets or around hooks in order to draw together two edges (as of a shoe or garment)

lace (verb)	shoe lace (verb)
add alcohol to (beverages)
draw through eyes or holes
spin, wind, or twist together
do lacework
make by braiding or interlacing