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Your search keyword '"Algebraic closure"' showing total 1 results
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1 results on '"Algebraic closure"'

1. On the representation of fields as sums of two proper subfields.

Author

Kȩpczyk, Marek

Subjects
*FINITE fields
Abstract

In this paper, we study which field F can be represented as sums of two proper subfields. We prove that a field F is a sum of two proper subfields if and only if the transcendence degree of F over its prime subfield is infinite. This answers a question posed in the paper [M. Kȩpczyk and R. Mazurek, On the representation of fields as finite sums of proper subfields, Results Math. 75(2) (2020) 65]. [ABSTRACT FROM AUTHOR]

Published
2024
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