# Ring detail

## Name: Malcev's nonembeddable domain

Description: The monoid ring $\Bbb Q[M]$ where $M$ is the nonimmersable monoid described in the paper.

Notes: This is a domain that is not a subring of any division ring.

Keywords monoid ring

Reference(s):

• A. Malcev. On the immersion of an algebraic ring into a field. (1937) @ Section 3

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
composition length left: $\infty$right: $\infty$
Name Description
Idempotents $\{0,1\}$
Nilpotents $\{0\}$
Zero divisors $\{0\}$