Tossup

An ideal of a ring can be described by this adjective if and only if its associated (-5[1])quotient ring (-5[1])is an integral (-5[1])domain. (10[3])If the characteristic (-5[1])of a field (10[1])is non-zero, it is a number (10[1])described (10[1])by this adjective. (10[1]-5[2])An integer is (10[1])raised (10[1])to the power (10[1])of a number described by (-5[1])this adjective (-5[1])in the statement of Fermat’s Little (10[1])Theorem. (10[9]-5[1])Two (10[1])integers (10[1])whose (10[2])highest common (-5[1])factor (10[2])is one (10[2])are (10[1])said (10[1])to be (10[2])“co-,” (10[16])or (10[7]-5[1])“relatively,” (10[16])this (10[1])adjective. (10[10])The Fundamental (10[2])Theorem (10[2])of Arithmetic states that (10[1])each (10[1])integer greater than one can be factored uniquely (10[2])into (10[1])numbers described (10[1])by (10[1])this adjective. (10[3])For 10 points, give this adjective used to describe numbers whose only factors (10[1])are themselves (10[2])and one. ■END■ (10[6])

Back to tossups

Buzzes

Summary