The definition of a Ring in GRE Mathematics

Forum for the GRE subject test in mathematics.
SisyphusDilemma
Posts: 5
Joined: Wed Sep 28, 2016 5:24 am

The definition of a Ring in GRE Mathematics

Postby SisyphusDilemma » Fri Sep 30, 2016 4:00 am

It seems that ETS has never given any standard references for the terminologies that are used in the GRE Sub Mathematics exam. While in the Cracking the GRE Mathematics Subject Test, a ring has been defined as not requiring the existence of a multiplicative identity, i.e. the unity, which affects a number of related concepts too, the subring, the ring homomorphism etc. However, in most algebra books (for instance, Jacobson's), such an object is given the name rng, and the ring is always assumed to have a unity. So what's the ETS's definition of a ring?

User avatar
DMAshura
Posts: 36
Joined: Sat Jul 05, 2014 7:53 am

Re: The definition of a Ring in GRE Mathematics

Postby DMAshura » Thu Oct 06, 2016 10:02 pm

It's incredibly unlikely that the ETS will ask a question that banks on whether the definition of a ring contains a unity element or not, precisely because different texts and different professors give different definitions -- they will always be clear about what they're asking. This is similar to how on the AP Calculus test, there is never a question whose crux is whether you consider the limit of x^-2 as x approaches 0 to be "does not exist" or "infinity".




Return to “Mathematics GRE Forum: The GRE Subject Test in Mathematics”



Who is online

Users browsing this forum: No registered users and 6 guests