DaRT - Ring 215

Known Properties

	Name
	$\pi$-regular
	$h$-local domain
	$I_0$
	?-ring
	ACC annihilator
	almost Dedekind domain
	almost maximal domain
	almost maximal ring
	almost maximal valuation ring
	analytically normal
	analytically unramified
	arithmetical
	Armendariz
	atomic domain
	Baer
	Bezout
	Bezout domain
	Boolean
	catenary
	clean
	co-Hopfian
	cogenerator ring
	coherent
	complete local
	continuous
	countable
	CS
	DCC annihilator
	directly irreducible
	distributive
	domain
	dual
	essential socle
	exchange
	FGC
	FI-injective
	finite uniform dimension
	finitely cogenerated
	finitely generated socle
	finitely pseudo-Frobenius
	fully semiprime
	GCD domain
	Goldie
	Goldman domain
	Henselian local
	hereditary
	Ikeda-Nakayama
	J-0
	J-1
	J-2
	Jacobson
	Kasch
	lift/rad
	linearly compact
	local
	max ring
	maximal ring
	maximal valuation ring
	N-1
	N-2
	nil radical
	nilpotent radical
	nonsingular
	nonzero socle
	normal
	normal domain
	Ore domain
	orthogonally finite
	periodic
	potent
	prime
	principally injective
	Prufer domain
	pseudo-Frobenius
	quasi-continuous
	rad-nil
	reduced
	Rickart
	Schreier domain
	self-injective
	semi free ideal ring
	semi-Artinian
	semi-Noetherian
	semihereditary
	semilocal
	semiperfect
	semiprime
	semiprimitive
	semiregular
	serial
	simple socle
	simple-injective
	stable range 1
	strongly $\pi$-regular
	strongly connected
	strongly regular
	subdirectly irreducible
	T-nilpotent radical
	top regular
	top simple
	top simple Artinian
	torch
	UGP ring
	uniform
	uniserial domain
	uniserial ring
	unit regular
	universally catenary
	universally Japanese
	V ring
	valuation domain
	valuation ring
	von Neumann regular
	weakly clean
	Zorn
	ACC principal
	algebraically closed field
	Archimedean field
	Artinian
	characteristic 0 field
	Cohen-Macaulay
	complete discrete valuation ring
	Dedekind domain
	discrete valuation ring
	division ring
	Euclidean domain
	Euclidean field
	excellent
	field
	finite
	free ideal ring
	Frobenius
	fully prime
	Gorenstein
	Grothendieck
	Krull domain
	local complete intersection
	Mori domain
	Nagata
	Noetherian
	ordered field
	PCI ring
	perfect
	perfect field
	primary
	primitive
	principal ideal domain
	principal ideal ring
	Pythagorean field
	quadratically closed field
	quasi-excellent
	quasi-Frobenius
	regular
	regular local
	semiprimary
	semisimple
	simple
	simple Artinian
	unique factorization domain
	2-primal
	Abelian
	anti-automorphic
	commutative
	compressible
	Dedekind finite
	duo
	IBN
	IC ring
	involutive
	McCoy
	NI ring
	Ore ring
	polynomial identity
	quasi-duo
	reversible
	semicommutative
	stably finite
	symmetric

Legend

= has the property
= does not have the property
= information not in database

Ring $R_{ 215 }$

Non-ACCP polynomial ring

Description:

Reference(s):