##### ERRATA TO

### George M. Bergman,
*Infinite multiplication of ideals in
*ℵ_{0}*-hereditary
rings*, J. Algebra **24** (1973) 56-70.

There are no mathematical mistakes here that I am aware of, but
many typos, cases of inaccurate wording, etc.:

P.56, second line of last paragraph:
"results" should be "result".

P.57, third line of second paragraph:
*M* ⊆ *N*
should be *N* ⊆ *M*.

P.57, fourth line of second paragraph: after "intersection
of" add "the kernels of".

P.58, next-to-last line of next-to-last paragraph:
"maximal" should be "greatest".

P.58, last line: before "*closed*" insert "nonzero".

P.59, Lemma 2.2: change "unique maximal" to "largest" in the
third line of the statement, and in the first line of the proof.

P.60, parenthetical note after end of proof of Corollary 3.3:
"This is false for *P* flat, e.g.," should
be "The hypothesis
of the above corollary cannot be weakened to merely say
that *P* is flat; e.g., consider".

P.60, Proposition 3.4, last line of (5): "(*row-finite*)"
should be "(*column-finite*)".

P.62, second line of proof of Proposition 4.2: Where I
say "Using Lemma 2.2 and Corollary 3.3", a clearer
explanation would be "Using Corollary 3.3 (the local closure
hypothesis of which holds by Lemma 2.2)".

P.65, last line of middle paragraph:
"is minimal in" should be "is the least element
of", and in the next line, "minimal" should likewise be "least".

P.65, first line of next-to-last paragraph: "assymmetric"
should be "asymmetric".

P.66, last line of first paragraph of section 7:
"ringconstructions" should be "ring constructions".

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