modulus vs integer

modulus and integer both are nouns.

Word	Noun	Adjective	Verb	Adverb
modulus	Yes	No	No	No
integer	Yes	No	No	No

As nouns, integer is a hypernym of modulus; that is, integer is a word with a broader meaning than modulus:

modulus: an integer that can be divided without remainder into the difference between two other integers
integer: any of the natural numbers (positive or negative) or zero

Other hypernyms of modulus include whole number.

modulus (noun)	integer (noun)
(physics) a coefficient that expresses how much of a specified property is possessed by a specified substance	any of the natural numbers (positive or negative) or zero
the absolute value of a complex number
an integer that can be divided without remainder into the difference between two other integers