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Subgroups of direct products of groups, ideals and subrings of direct products of rings, and Goursat’s lemma

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Abstract: We give an exposition of Goursat’s Lemma which describes the subgroups of a direct product of two groups. A ring version giving the subrings and ideals of a direct product of two rings is also given.

Author(s): D. D. Anderson, V. Camillo
Publisher: American Mathematical Society
Year: 2009

Language: English
Commentary: Article MR2508141 published inside book MR2541857
Pages: 12