Marot ring


A Marot ring is any commutative ring with non-zero unity, where every regular ideal may be generated by regular elementsPlanetmathPlanetmath.

Note.m is trivially a Marot ring (see the entry “regular ideal (http://planetmath.org/RegularIdeal)”); an integral domainMathworldPlanetmath is another example because it has no zero divisors.

Title Marot ring
Canonical name MarotRing
Date of creation 2013-03-22 15:43:03
Last modified on 2013-03-22 15:43:03
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 8
Author PrimeFan (13766)
Entry type Definition
Classification msc 13A99