What is "en-ring"

In mathematics, an E-algebra in a symmetric monoidal infinity category C consists of the following data:

• An object A(U) for any open subset U of R homeomorphic to an n-disk.
• A multiplication map:

  
  μ : A(U) ⊗ ⋯ ⊗ A(U) → A(V)
  

for any disjoint open disks U contained in some open disk V

subject to the requirements that the multiplication maps are compatible with composition, and that μ is an equivalence if m = 1. An equivalent definition is that A is an algebra in C over the little n-disks operad.