N-Ary Coproduct Symbol

A symbol from the Math Symbols collection. Click the symbol or the button below to copy.

Symbol: ∐
Unicode: U+2210
HTML entity: ∐
Category: Math Symbols

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86 of 96 in the math symbols collection

About the n-ary coproduct symbol

The N-Ary Coproduct symbol represents the coproduct operation in category theory, a dual to the product that combines objects in a way that allows unique mappings into each component. In mathematics, it is analogous to the disjoint union of sets or the direct sum of algebraic structures.

This symbol appears primarily in advanced mathematical texts, particularly in category theory, homological algebra, and related fields. It is used in formal notation alongside other large operators like the product and sum symbols, often with indexing to indicate the objects being combined.

How to type N-Ary Coproduct

Native keyboard shortcuts for each operating system — derived from the codepoint, so the steps below are always accurate.

Windows

2 options

In Word / Outlook: type 2210 then press Alt + X.
Anywhere: press Win + . to open the emoji & symbol picker, then search.

macOS

2 options

Enable “Unicode Hex Input” in System Settings → Keyboard, then hold Option and type 2210.
Or: Control + Command + Space opens the Character Viewer — search by name.