Investigating Factorizations of Polynomials over the Boolean Semifield B(2,1).

Student: Vincent Thompson, Francisco Alarcon

Graduate/Undergraduate: Undergraduate

Abstract:

In this presentation, we prove that B=B(2,1) is the only finite semifield that is not a field. While over this semifield polynomials can be factored into a product of irreducible polynomials of lesser degree, this factorization is not unique. We present some basic results about the number of factorizations into different irreducibles for various polynomial types.

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