2

I am looking for a document or book containing some chart similar ( but more extensive) to this

(Obviously not my chart. Found it here:http://facstaff.cbu.edu/wschrein/media/M402%20Notes/M402C13.pdf; just using for reference) enter image description here

so that I can quickly check for counterexamples for rings of a given kind. Any help would be appreciated.

asdhfb askldfn
  • 87
  • https://mathoverflow.net/questions/29006/counterexamples-in-algebra might be useful. Or https://ncatlab.org/nlab/show/counterexamples+in+algebra#ring_theory or https://math.stackexchange.com/questions/334835/counterexamples-in-algebra – Gerry Myerson Oct 09 '20 at 12:30
  • See also Hutchins's book Examples of Commutative Rings (here examples means mostly counterexamples), which is based on his thesis under Kaplansky. – Bill Dubuque Oct 09 '20 at 21:12

1 Answers1

3

A database of Ring Theory is the most thorough collection that I know of. Under the "Properties" tab you can search for rings that do, as well as rings that do not have one of the listed properties.

Randy Marsh
  • 3,786