Replaced reference to “the” author of the nLab article by a more, how should I say, *egalitarian* formulation. (Sprinkled throughout the nLab are various phrases like “the author” or “I don’t know whether” or “I will come back to this later”, which I think generally should be discouraged, even though I have been guilty of doing this as well.)

Also clarified *which* ring of fractions (in the theorem before the examples section).

I have taken the liberty of making mild cosmetic adjustment to the wording in the first sentence.

Also I have hyperlinked the term *zero divisor*, throughout.

I don’t know if this concept already has a proper name in the commutative ring theory literature.

]]>creating article for a weaker notion of “integral domain” where the zero divisors only form an ideal instead of being equal to zero, in the same way that a local ring is where the non-invertible elements only form an ideal instead of being equal to zero.

Anonymous

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