HTML Entity for N-Ary Coproduct (∐)

Intermediate
⏱️ 5 min read
📚 Updated: Jun 2026
🎯 1 Code Example
Unicode U+2210

What You'll Learn

How to display the N-Ary Coproduct symbol (∐) in HTML using named, hexadecimal, decimal, and CSS escape methods. This character is U+2210 (N-ARY COPRODUCT) in the Mathematical Operators block (U+2200–U+22FF)—the operator for coproducts (disjoint unions) over indexed families in category theory and abstract algebra.

Render it with the named entity ∐, ∐, ∐, or CSS escape \2210. Pair with related n-ary operators such as N-Ary Intersection (⋂, ⋂) and distinguish it from ∏ (∏, n-ary product).

⚡ Quick Reference — N-Ary Coproduct

Unicode U+2210

Mathematical Operators

Hex Code ∐

Hexadecimal reference

HTML Code ∐

Decimal reference

Named Entity ∐

Most readable in math markup

Reference Table
Name           Value
────────────   ──────────
Unicode        U+2210
Hex code       ∐
HTML code      ∐
Named entity   ∐
CSS code       \2210
Meaning        N-ary coproduct (disjoint union)
Related        U+220F = product (∏, ∏)
               U+22C2 = intersection (⋂, ⋂)
1

Complete HTML Example

This example demonstrates the N-Ary Coproduct (∐) using hexadecimal code, decimal HTML code, the named entity, and a CSS content escape:

html
<!DOCTYPE html>
<html>
<head>
 <style>
  #point:after{
   content: "\2210";
  }
 </style>
</head>
<body>
<p>N-Ary Coproduct using Hexadecimal: &#x2210;</p>
<p>N-Ary Coproduct using HTML Code: &#8720;</p>
<p>N-Ary Coproduct using Named Entity: &coprod;</p>
<p id="point">N-Ary Coproduct using CSS Entity: </p>
</body>
</html>
Try it Yourself

🌐 Browser Support

U+2210 is widely supported wherever Unicode Mathematical Operators render correctly:

Chrome 1+
Firefox 1+
Safari 1+
Edge 12+
Opera 4+
Android 4.4+
iOS Safari 1+

👀 Live Preview

See the N-Ary Coproduct (∐) in mathematical notation contexts:

Inline formula A ∐ B denotes the coproduct of objects A and B.
Indexed family iI Xi
Large glyph
vs product ∐ coproduct   ∏ product
Entity refs &coprod; &#x2210; &#8720; \2210

🧠 How It Works

1

Named Entity

&coprod; is the HTML named entity for N-Ary Coproduct—often preferred in readable mathematical markup.

HTML markup
2

Hexadecimal Code

&#x2210; uses the Unicode hexadecimal value 2210. The x prefix indicates hexadecimal format.

HTML markup
3

Decimal HTML Code

&#8720; uses the decimal Unicode value 8720 to display the same character.

HTML markup
4

CSS Entity

\2210 is used in CSS stylesheets, particularly in the content property of pseudo-elements like ::before and ::after.

CSS stylesheet
=

Same visual result

All four methods produce: . Unicode U+2210 in Mathematical Operators. Related: n-ary product ∏ (&prod;).

Use Cases

The N-Ary Coproduct symbol (∐) is commonly used in:

🔢 Category theory

Coproducts and disjoint unions of objects in diagrams and proofs.

📊 Abstract algebra

Free constructions and direct sums over indexed families.

📚 Academia

Graduate texts, papers, and lecture notes on algebraic structures.

💻 Formal methods

Specification docs describing coproduct types and sum types.

🎓 Education

Online courses on category theory, type theory, and advanced math.

🌐 Reference guides

Unicode charts and HTML entity documentation.

💡 Best Practices

Do

  • Use &coprod; for readable coproduct markup
  • Pair with ∏ and ⋂ when documenting n-ary operator families
  • Use fonts that cover Mathematical Operators (Cambria Math, etc.)
  • Add aria-label (e.g. “n-ary coproduct”) for accessibility
  • Serve pages with UTF-8 (<meta charset="utf-8">)

Don’t

  • Confuse &coprod; (∐) with &prod; (∏)
  • Assume HTML entities perform mathematical computation
  • Put CSS escape \2210 in HTML text nodes
  • Mix entity styles randomly in one file
  • Rely on the symbol alone without accessible description

Key Takeaways

1

Three HTML references plus CSS all render ∐

&#x2210; &#8720; &coprod;
2

For CSS stylesheets, use the escape in the content property

\2210
3

Unicode U+2210 — N-ARY COPRODUCT

4

&coprod; is the standard named entity

5

Related: N-Ary Intersection (⋂) and n-ary product (∏, &prod;)

❓ Frequently Asked Questions

Use &coprod; (named), &#x2210; (hex), &#8720; (decimal), or \2210 in CSS content. All produce ∐.
U+2210 (N-ARY COPRODUCT). Mathematical Operators block (U+2200–U+22FF). Hex 2210, decimal 8720. Named entity: &coprod;.
When documenting coproducts in category theory, abstract algebra, type theory, and academic content involving disjoint unions over indexed families.
∐ (U+2210, &coprod;) is the n-ary coproduct operator. ∏ (U+220F, &prod;) is the n-ary product. They look similar but represent different mathematical operations.
HTML entities (&#8720;, &#x2210;, or &coprod;) go directly in markup. The CSS escape \2210 is used in stylesheets, typically in the content property of pseudo-elements. Same visual result, different layers of the stack.

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About the author

Mari Selvan M P
Mari Selvan M P 🔗

Developer, cloud engineer, and technical writer

  • Experience 12 years building web and cloud systems
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I write practical tutorials so students and working developers can learn by doing—from databases and APIs to deployment on AWS.

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