• HOMEOMORPHISMS OF THE PRIME SPECTRA
Abstract
In this paper it is proved that closed subspaces of Spec R are homeomorphic to the spectra of the quotient rings of R. If R is a finite direct product of rings,,…, then it is proved that Spec R is the disjoint union of open sets that are homeomorphic to Spec .
Keywords
Prime ideals, Prime Spec R, Quotient Rings and Homeomorphism.
Full Text:
PDF![Creative Commons License](https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2024 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |