algebra over a field
C17817
concept
An algebra over a field is a vector space equipped with a bilinear multiplication operation that combines vectors to produce another vector in a way compatible with scalar multiplication from the field.
Observed surface forms (9)
- finite-dimensional algebra ×3
- algebra ×2
- Banach *-algebra ×1
- Hopf algebra ×1
- cellular algebra ×1
- normed algebra ×1
- quadratic algebra ×1
- quadratic extension of ℚ ×1
- quantum algebra ×1
Instances (12)
- Weyl algebra
- Gaussian rationals ℚ(i) via concept surface "quadratic extension of ℚ"
- C*-algebras via concept surface "Banach *-algebra"
- Banach algebra via concept surface "normed algebra"
- Racah algebra via concept surface "algebra"
- Askey–Wilson algebra via concept surface "quadratic algebra"
- q-Onsager algebra via concept surface "quantum algebra"
- Griess algebra via concept surface "finite-dimensional algebra"
- Clifford algebra
- Drinfeld–Jimbo quantum groups via concept surface "Hopf algebra"
- Bose–Mesner algebra via concept surface "finite-dimensional algebra"
- Temperley–Lieb algebra via concept surface "algebra"