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Bbbk

Represents a blackboard bold (double-struck) lowercase letter k, commonly used in mathematical notation to denote specific number fields or sets.

Overview

Primarily employed in advanced mathematics and algebra to denote special mathematical objects or fields, particularly when distinguishing between different types of number systems or mathematical structures.

  • Often used alongside other blackboard bold symbols like ℝ, ℤ, and ℂ
  • Appears in contexts involving field theory, algebra, and advanced mathematical notation
  • Particularly useful when multiple 'k' symbols are needed in the same context to represent distinct mathematical objects

Examples

Using the blackboard bold k symbol in a field theory equation.

f:k[x]→k[x]/If: \Bbbk[x] \to \Bbbk[x]/I 
f: \Bbbk[x] \to \Bbbk[x]/I

Representing a base field in algebraic geometry.

dim⁡kV=n\dim_{\Bbbk} V = n 
\dim_{\Bbbk} V = n

Denoting a field homomorphism in abstract algebra.

ϕ:k→C\phi: \Bbbk \to \mathbb{C} 
\phi: \Bbbk \to \mathbb{C}