Abstract
The Fundamental Theorem of Arithmetic is a statement about the uniqueness of factorization in the ring of integers. The notation and proof easily generalize to uniqueness of factorization in principal ideal domains. Factorization, unique and otherwise, has been well-studied in integral domains. Less well-studied is factorization in rings that contain nonzero zerodivisors. In this article we give a theorem analogous to the Fundamental Theorem of Arithmetic, but for rings of the form D/(n) where D is a principal ideal domain and n is a nonzero nonunit of D.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
