Ring $R_{ 83 }$

Šter's counterexample showing "clean" is not Morita invariant

Description:

See the expanded details page

Reference(s):

  • J. Ster. The clean property is not a Morita invariant. (2014) @ (main result)
Symmetric properties
Name
$\pi$-regular
$I_0$
2-primal
Abelian
anti-automorphic
Armendariz
Baer
commutative
compressible
countable
Dedekind finite
directly irreducible
domain
exchange
fully prime
fully semiprime
IBN
IC ring
involutive
lift/rad
NI ring
nil radical
nilpotent radical
orthogonally finite
polynomial identity
potent
prime
reduced
reversible
semi free ideal ring
semicommutative
semilocal
semiprime
semiprimitive
semiregular
simple
stable range 1
stably finite
strongly connected
symmetric
top regular
top simple
top simple Artinian
von Neumann regular
weakly clean
Zorn
Boolean
clean
division ring
field
finite
Frobenius
local
periodic
primary
quasi-Frobenius
semiperfect
semiprimary
semisimple
simple Artinian
strongly $\pi$-regular
strongly regular
unit regular
Asymmetric properties
left Name right
ACC annihilator
ACC principal
Bezout
Bezout domain
cogenerator ring
coherent
cohopfian
CS
DCC annihilator
distributive
dual
duo
essential socle
FI-injective
finite uniform dimension
finitely cogenerated
finitely generated socle
finitely pseudo-Frobenius
free ideal ring
Goldie
hereditary
Ikeda-Nakayama
Kasch
max ring
McCoy
Noetherian
nonsingular
nonzero socle
Ore domain
Ore ring
PCI ring
primitive
principal ideal domain
principal ideal ring
principally injective
quasi-continuous
quasi-duo
Rickart
semi-Artinian
semi-Noetherian
semihereditary
simple socle
simple-injective
T-nilpotent radical
UGP ring
uniform
V ring
Artinian
continuous
linearly compact
perfect
pseudo-Frobenius
self-injective
serial
uniserial domain
uniserial ring
Legend
  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
composition length left: $\infty$right: $\infty$

(Nothing was retrieved.)