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 ==Why not merge into Zero divisors?== 

 I hope someone will explain why this article exists.  Most of it seems to belong in the article on zero divisors.  The basic concept from the advanced-math viewpoint, as far as I know, is zero divisors, not ""zero-product property"", which is just a name for the property of not being a zero divisor.  Moreover, the name ""zero-product property"" is not standard; in fact, as far as I know, there is no generally accepted name for this property.  Usually this property of a ring is called ""having no zero divisors"".  Does someone has something to say about this?  Maybe I'm just very old fashioned.  (Quotation.)   "