U-factorizations in Commutative Rings with Zero Divisors

Authors

Nicholas Roersma, Wabash CollegeFollow

Abstract

Let R be a commutative ring with identity. We define an alternate method of factorization, called a U-factorization, and extend several finite factorization characterizations to U-factorizations.

Author Bio

I am in the class of 2003 at Wabash College (located in Crawfordsville, IN) where I am a mathematics and economics double major. The paper came about in the summer of 2001 when I was given the opportunity to stay on campus and research with Dr. Michael Axtell. The summer internship was very fruitful and fun. Following graduation, I hope to attend graduate school in mathematics for either algebra or number theory.

Recommended Citation

Roersma, Nicholas (2001) "U-factorizations in Commutative Rings with Zero Divisors," Rose-Hulman Undergraduate Mathematics Journal: Vol. 2: Iss. 2, Article 6.
Available at: https://scholar.rose-hulman.edu/rhumj/vol2/iss2/6