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Add implication: integral domains are not trivial #1912

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Nov 26, 2024
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Add implication: integral domains are not trivial #1912

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3 changes: 1 addition & 2 deletions src/Rings.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -194,8 +194,7 @@ Test whether the ring $R$ is trivial. A ring is trivial if it consists
of a single element, or equivalently if its characteristic is 1. Such
rings are also called zero rings.
"""
is_trivial(F::NCRing) = iszero(one(F))
is_trivial(F::Field) = false
is_trivial(R::NCRing) = !is_domain_type(elem_type(R)) && iszero(one(R))

@doc raw"""
is_perfect(F::Field)
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