Ring $R_{ 191 }$

Non π-regular matrix ring over a π-regular ring

Description:

$M_2(R_{190})$ using the base ring $R_{190}$

Keywords matrix ring

Reference(s):

  • L. H. Rowen. Examples of semiperfect rings. (1989) @ Example 2.4 pp 279-280
Symmetric properties
Name
2-primal
Abelian
anti-automorphic
Armendariz
Baer
compressible
countable
directly irreducible
fully prime
fully semiprime
involutive
NI ring
orthogonally finite
polynomial identity
prime
reversible
semicommutative
semiprime
symmetric
top simple
top simple Artinian
$\pi$-regular
Boolean
commutative
division ring
domain
field
finite
Frobenius
local
nilpotent radical
periodic
primary
quasi-Frobenius
reduced
semi free ideal ring
semiprimary
semiprimitive
semisimple
simple
simple Artinian
strongly $\pi$-regular
strongly connected
strongly regular
unit regular
von Neumann regular
$I_0$
clean
Dedekind finite
exchange
IBN
IC ring
lift/rad
nil radical
potent
semilocal
semiperfect
semiregular
stable range 1
stably finite
top regular
weakly clean
Zorn
Asymmetric properties
left Name right
ACC annihilator
ACC principal
Bezout
cogenerator ring
coherent
cohopfian
continuous
CS
DCC annihilator
distributive
dual
duo
essential socle
FI-injective
finite uniform dimension
finitely cogenerated
finitely generated socle
finitely pseudo-Frobenius
Goldie
hereditary
Ikeda-Nakayama
Kasch
linearly compact
McCoy
nonsingular
nonzero socle
Ore ring
principally injective
pseudo-Frobenius
quasi-continuous
quasi-duo
Rickart
self-injective
semi-Noetherian
semihereditary
serial
simple socle
simple-injective
Artinian
Bezout domain
free ideal ring
max ring
Noetherian
Ore domain
PCI ring
perfect
primitive
principal ideal domain
principal ideal ring
semi-Artinian
T-nilpotent radical
uniform
uniserial domain
uniserial ring
V ring
UGP ring
Legend
  • = has the property
  • = does not have the property
  • = information not in database

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