On the class semigroup of the cyclotomic $\mathbb Z_p$-extension of the rational numbers
On the class semigroup of the cyclotomic $\mathbb Z_p$-extension of the rational numbers
For a commutative integral domain, the class semigroup and the class group are defined as the quotient of the semigroup of fractional ideals and the group of invertible ideals by the group of principal ideals, respectively. Let $p$ be a prime number. In algebraic number theory, especially in Iwasawa theory, …