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Problem 23 (The Ideal Generated By A Subset Is An Ideal)

Let $R$ be a ring and $S=\{a_1, a_2, \ldots a_n\}$ be subset of $R$ consisting of $n$ elements (where $n$ is some positive integer. Prove that the ideal generated by $S$ is actually an ideal of $R$.

The following pages link to this page.

Problem.TheIdealGeneratedByASubsetIsAnIdeal
Problem.TheIdealGeneratedByByASubsetIsAnIdeal
Schedule.20170118
Schedule.20170120
Schedule.20170123
Schedule.20170125
Schedule.AllProblems442

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Page last modified on January 25, 2019, at 02:16 PM

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HomePage Current Problems All Problems Pictures ProblemsByWeek List of Problems List of Definitions List of Theorems List of Conjectures All Recent changes (use this to find a page that may have been lost)	Problem The Ideal Generated By A Subset Is An Ideal Please Login to access more options. Problem 23 (The Ideal Generated By A Subset Is An Ideal) Let $R$ be a ring and $S=\{a_1, a_2, \ldots a_n\}$ be subset of $R$ consisting of $n$ elements (where $n$ is some positive integer. Prove that the ideal generated by $S$ is actually an ideal of $R$. The following pages link to this page. Problem.TheIdealGeneratedByASubsetIsAnIdeal Problem.TheIdealGeneratedByByASubsetIsAnIdeal Schedule.20170118 Schedule.20170120 Schedule.20170123 Schedule.20170125 Schedule.AllProblems442 Edit Page History Source Attach File Backlinks List Group Page last modified on January 25, 2019, at 02:16 PM
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