# Ring detail

## Name: $\mathbb Z\langle x,y\rangle/(y^2, yx)$

Description: Quotient of the free algebra $\mathbb Z\langle x,y\rangle$ by the ideal $(y^2,yx)$. Attributed to Dieudonne

Keywords free algebra quotient ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 21

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
cardinality $\aleph_0$
composition length left: $\infty$right: $\infty$

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