On some classes of integral domains defined by Krull's $\mathbf{a}.\mathbf{b}.$ operations

Marco Fontana, Giampaolo Picozza

Let $D$ be an integral domain with quotient field $K$. The $b$-operation that associates to each nonzero $D$-submodule $E$ of $K$, $E^b := \bigcap\{EV \mid V valuation overring of…