Ok so I am not a math major and i haven't taken an abstract algebra class but i am curoius about the subject. I have been watching video lectures at UCCS at http://cmes.uccs.edu/Fall2007/Math414/archive.php?type=valid and the proffessor talks about groups and rings. In the introduction the groups he states that the definitions of a group are sufficient for solving a linear equation. He states that this is the intuition beheind the idea of a group. Now when he introduces a ring he doesn't seem to give much motivation beheind it.(adsbygoogle = window.adsbygoogle || []).push({});

My questions is this: Why are rings important? Is there any intuition behind them that warrent studying them and/or giving them there own name?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Why a ring?

**Physics Forums | Science Articles, Homework Help, Discussion**