FLINT3.7.0-dev

gr_ctx_is_ring, gr_ctx_is_commutative_ring, gr_ctx_is_integral_domain, gr_ctx_is_field, gr_ctx_is_unique_factorization_domain, gr_ctx_is_finite, gr_ctx_is_finite_characteristic, gr_ctx_is_algebraically_closed, gr_ctx_is_ordered_ring, gr_ctx_is_zero_ring, gr_ctx_is_rational_vector_space, gr_ctx_is_real_vector_space, gr_ctx_is_complex_vector_space, gr_ctx_is_multiplicative_group

Synopsis#include <flint/gr.h>
truth_t gr_ctx_is_ring(gr_ctx_t ctx)source
truth_t gr_ctx_is_commutative_ring(gr_ctx_t ctx)source
truth_t gr_ctx_is_integral_domain(gr_ctx_t ctx)source
truth_t gr_ctx_is_field(gr_ctx_t ctx)source
truth_t gr_ctx_is_unique_factorization_domain(gr_ctx_t ctx)source
truth_t gr_ctx_is_finite(gr_ctx_t ctx)source
truth_t gr_ctx_is_finite_characteristic(gr_ctx_t ctx)source
truth_t gr_ctx_is_algebraically_closed(gr_ctx_t ctx)source
truth_t gr_ctx_is_ordered_ring(gr_ctx_t ctx)source
truth_t gr_ctx_is_zero_ring(gr_ctx_t ctx)source
truth_t gr_ctx_is_rational_vector_space(gr_ctx_t ctx)source
truth_t gr_ctx_is_real_vector_space(gr_ctx_t ctx)source
truth_t gr_ctx_is_complex_vector_space(gr_ctx_t ctx)source
truth_t gr_ctx_is_multiplicative_group(gr_ctx_t ctx)source

Return whether the structure has the mathematical property. Rings with inexact elements answer for the ring they represent, so real balls form a field. Floating-point contexts are not rings and return T_FALSE for the ring properties.

Guides#

Cite this page

The FLINT team, “gr_ctx_is_ring, gr_ctx_is_commutative_ring, gr_ctx_is_integral_domain, gr_ctx_is_field, gr_ctx_is_unique_factorization_domain, gr_ctx_is_finite, gr_ctx_is_finite_characteristic, gr_ctx_is_algebraically_closed, gr_ctx_is_ordered_ring, gr_ctx_is_zero_ring, gr_ctx_is_rational_vector_space, gr_ctx_is_real_vector_space, gr_ctx_is_complex_vector_space, gr_ctx_is_multiplicative_group (gr.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr/gr_ctx_is_ring.html (generated 2026-10-20).