Title

Properties of U-factorizations

Department/School

Mathematics

Date

1-1-2003

Document Type

Article

Keywords

u-factorizations, properties, zero-divisors, finite commulative rings, graphs

Abstract

Let R be a commutative ring with identity. In this paper we examine a type of factorization called a U-factorization. We classify all possible rearrangements of U-factorizations and extend several results concerning finite factorization properties to U-factorizations. We explore the close relationship between a U-factorization in a ring R and a factorization in a related monoid, (R/∼,·), where ∼ is the associate relationship. We then examine U-factorizations in idealizations.

Volume

2

Issue

2

Published in

International Journal of Commutative Rings

Citation/Other Information

Axtell, M., Forman, S., Roersma, N., & Stickles, J. (2003). Properties of u-factorizations. International Journal of Commutative Rings, 2(2), 83-99.

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