from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Of a ring in which any ascending chain of ideals eventually starts repeating.
- adj. Of a module in which any ascending chain of submodules eventually starts repeating.
Hey, Morgan, I’ve got a problem I’ve been wrestling with for a little while this morning, and maybe you can help me out: I’m working on a noetherian scheme, X, with script-I denoting any coherent sheaf of ideals on X (not just the easy ones generated by I where I is a principle ideal).