习题 7, § 6

标签 0BNW，永久不变。引用为 [Bourbaki, Tag 0BNW]。

一般拓扑, III, 316

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Let A be a topological ring with no identity element, and let B be the ring obtained by adjoining an identity element to A show that the topology on B which is the product of the topology of A and the discrete topology on $\mathbf{Z}$ is compatible with the ring structure of B, and induces the given topology on A (a two-sided ideal of B).

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