Ring $R_{ 53 }$

$\mathbb Z/(n)$, $n$ divisible by two primes and a square

Description:

The quotient of the integers by an ideal $(n)$ where $n>1$ is divisible by at least two different primes, and $n$ isn't squarefree

Keywords quotient ring

Reference(s):

  • (Citation needed)


  • Known Properties
    Name
    excellent
    FGC
    Grothendieck
    J-0
    J-1
    J-2
    quasi-excellent
    regular
    $h$-local domain
    ?-ring
    algebraically closed field
    almost Dedekind domain
    almost maximal domain
    almost maximal valuation ring
    analytically normal
    analytically unramified
    Archimedean field
    atomic domain
    Baer
    Bezout domain
    Boolean
    characteristic 0 field
    complete discrete valuation ring
    complete local
    Dedekind domain
    directly irreducible
    discrete valuation ring
    division ring
    domain
    Euclidean domain
    Euclidean field
    field
    free ideal ring
    fully prime
    fully semiprime
    GCD domain
    Goldman domain
    Henselian local
    hereditary
    Krull domain
    local
    local complete intersection
    maximal valuation ring
    Mori domain
    N-1
    N-2
    nonsingular
    normal
    normal domain
    ordered field
    Ore domain
    PCI ring
    perfect field
    periodic
    primary
    prime
    primitive
    principal ideal domain
    Prufer domain
    Pythagorean field
    quadratically closed field
    reduced
    regular local
    Rickart
    Schreier domain
    semi free ideal ring
    semihereditary
    semiprime
    semiprimitive
    semisimple
    simple
    simple Artinian
    simple socle
    strongly connected
    strongly regular
    top simple
    top simple Artinian
    torch
    uniform
    unique factorization domain
    uniserial domain
    uniserial ring
    unit regular
    V ring
    valuation domain
    valuation ring
    von Neumann regular
    $\pi$-regular
    $I_0$
    2-primal
    Abelian
    ACC annihilator
    ACC principal
    almost maximal ring
    anti-automorphic
    arithmetical
    Armendariz
    Artinian
    Bezout
    catenary
    clean
    cogenerator ring
    Cohen-Macaulay
    coherent
    cohopfian
    commutative
    compressible
    continuous
    countable
    CS
    DCC annihilator
    Dedekind finite
    distributive
    dual
    duo
    essential socle
    exchange
    FI-injective
    finite
    finite uniform dimension
    finitely cogenerated
    finitely generated socle
    finitely pseudo-Frobenius
    Frobenius
    Goldie
    Gorenstein
    IBN
    IC ring
    Ikeda-Nakayama
    involutive
    Jacobson
    Kasch
    lift/rad
    linearly compact
    max ring
    maximal ring
    McCoy
    Nagata
    NI ring
    nil radical
    nilpotent radical
    Noetherian
    nonzero socle
    Ore ring
    orthogonally finite
    perfect
    polynomial identity
    potent
    principal ideal ring
    principally injective
    pseudo-Frobenius
    quasi-continuous
    quasi-duo
    quasi-Frobenius
    rad-nil
    reversible
    self-injective
    semi-Artinian
    semi-Noetherian
    semicommutative
    semilocal
    semiperfect
    semiprimary
    semiregular
    serial
    simple-injective
    stable range 1
    stably finite
    strongly $\pi$-regular
    symmetric
    T-nilpotent radical
    top regular
    UGP ring
    universally catenary
    universally Japanese
    weakly clean
    Zorn
    Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $n$
    composition length left: $\Omega(n)$right: $\Omega(n)$
    Krull dimension (classical) 0

    (Nothing was retrieved.)