Definition

A smaller group within a mathematical structure called a ring, which also follows the rules of a ring.

Example

In algebra, a subring can be used to study properties of the larger ring more easily.

Conversation

Have you ever heard of a subring in mathematics?

No, I haven't! What is it?

It's actually a subset of a ring that forms a ring by itself.

That sounds interesting! I need to look into it more.

Synonyms & Antonyms

Root Explanation

This word originates from Old English, meaning a smaller or secondary ring. The prefix 'sub-' (meaning under or below) indicates something that is lesser or secondary, while 'ring' refers to a circular band or shape. Thus, 'subring' refers to a smaller or secondary ring.

Memory Tip

Think of 'sub-' meaning 'under' or 'lesser' and 'ring' as a circular shape — a subring is a smaller or lesser ring.

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