# Ring detail

## Name: $k\langle x,y \rangle/(xy-1)$: the Toeplitz-Jacobson algebra

This ring suggested by: dbossaller

Description: For a countable field $k$, the ring is the quotient $k\langle x,y \rangle/(xy-1)$.

Keywords free algebra quotient ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ Section 11 p 184

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