from typing_extensions import Self

from sympy.polys.agca.ideals import ModuleImplementedIdeal
from sympy.polys.domains.domain import Domain
from sympy.polys.domains.quotientring import QuotientRing

class Ring(Domain):
    is_Ring = ...
    def get_ring(self) -> Self: ...
    def exquo(self, a, b): ...
    def quo(self, a, b): ...
    def rem(self, a, b): ...
    def div(self, a, b): ...
    def invert(self, a, b): ...
    def revert(self, a): ...
    def is_unit(self, a) -> bool: ...
    def numer(self, a): ...
    def denom(self, a): ...
    def free_module(self, rank): ...
    def ideal(self, *gens) -> ModuleImplementedIdeal: ...
    def quotient_ring(self, e) -> QuotientRing: ...
    def __truediv__(self, e) -> QuotientRing: ...