TeXipedia

circledcirc

Represents a circled circled operator symbol, commonly used in advanced mathematical notation and abstract algebra.

Overview

Serves as a specialized mathematical operator symbol primarily found in advanced algebraic contexts and theoretical mathematics.

  • Often appears in group theory and abstract algebra to denote specific binary operations or compositions
  • Used in academic papers and advanced mathematical texts where distinct operator notation is needed
  • Particularly useful when multiple circular operations need to be visually distinguished in the same context
  • Sometimes employed in category theory or when describing complex mathematical structures

Examples

Representing a binary operation in abstract algebra.

a⊚b=b⊚aa \circledcirc b = b \circledcirc a 
a \circledcirc b = b \circledcirc a

Defining a custom mathematical operator for group theory.

(G,⊚) is an abelian group(G, \circledcirc) \text{ is an abelian group} 
(G, \circledcirc) \text{ is an abelian group}

Showing composition of elements in a cyclic structure.

x1⊚x2⊚x3=ex_1 \circledcirc x_2 \circledcirc x_3 = e 
x_1 \circledcirc x_2 \circledcirc x_3 = e