JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 4, Pages 531 - 541
(August 2017) http://dx.doi.org/10.17654/NT039040531 |
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ON RINGS WITH FACTORIZATION
Howard E. Bell
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Abstract: A nonzero ring R is called a factorization ring (or F-ring) if each nonzero element of R can be expressed as a product of two (not necessarily distinct) elements. We give conditions for an F-ring to have 1. We discuss subrings of F-rings, and show that certain F-rings must be finite. For finite F-rings R, we study the number defined to be the maximum number of 2-factorizations a nonzero element of R can possess. |
Keywords and phrases: factorization, finiteness. |
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