Ideal

Revision as of 17:34, 30 November 2007 by Valentin Vornicu (talk | contribs) (New page: In ring theory, an ideal is a special subset of the ring. ==Definition== Let <math>R</math> be a ring, with <math>(R, +)</math> the underlying additive group of the ring. A subset <m...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In ring theory, an ideal is a special subset of the ring.

Definition

Let $R$ be a ring, with $(R, +)$ the underlying additive group of the ring. A subset $I$ of $R$ is called right ideal of $R$ if

- $(I, +)$ is a subgroup of $(R, +)$
- $xr$ is in $I$ for all $x$ in $I$ and all $r$ in $R$

Problems

<url>viewtopic.php?t=174516 Problem 1</url>