text: It's not trivial, but the module generated by the empty set is referred to by this word, and is the identity of modules under direct product.
full_question: It's not trivial, but the module generated by the empty set is referred to by this word, and is the identity of modules under direct product. In a field, the object referred to by this word is the only one that does not have a multiplicative inverse. This word describes the image of the kernel of a linear transformation. The Riemann hypothesis is about the nature of numbers which output this value when input into the zeta function. When this number is taken as a polynomial, it has degree negative infinity, though other constants considered as polynomials have degree equal to this number. The y-intercept of a function is its value at this x-coordinate. For 10 points, the roots of a polynomial are where it takes on what value?
first_sentence: It's not trivial, but the module generated by the empty set is referred to by this word, and is the identity of modules under direct product.
raw_answer: zero