Please Login to access more options.

Definition (Factor Ring)

Let $R$ be a ring and let $A$ be an ideal of $R$. The set of cosets $\{ r+A\mid r\in R\}$ together with the binary operations $(s+A)+(t+A) = (s+t)+A$ and $(s+A)(t+A) = st+A$ is called the factor ring of $R$ by $A$, or just the factor ring $R/A$.

The following pages link to this page.

Definition.FactorRing
Schedule.20140115
Schedule.20170118
Schedule.20170120
Schedule.20170123
Schedule.AllProblems442

Edit
Page History
Source
Attach File
Backlinks
List Group

Page last modified on January 21, 2014, at 09:07 AM

Big View Home Login Edit History Recent Changes
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)	Definition Factor Ring Please Login to access more options. Definition (Factor Ring) Let $R$ be a ring and let $A$ be an ideal of $R$. The set of cosets $\{ r+A\mid r\in R\}$ together with the binary operations $(s+A)+(t+A) = (s+t)+A$ and $(s+A)(t+A) = st+A$ is called the factor ring of $R$ by $A$, or just the factor ring $R/A$. The following pages link to this page. Definition.FactorRing Schedule.20140115 Schedule.20170118 Schedule.20170120 Schedule.20170123 Schedule.AllProblems442 Edit Page History Source Attach File Backlinks List Group Page last modified on January 21, 2014, at 09:07 AM
skin config pmwiki-2.2.142