Arithmetic of the ring ๐น๐‘ž[ฮต], ๐œ€๐‘›=0, nโ‰ฅ1, ๐œ€๐‘–+1= ๐œ€๐‘–, i=1,2,3

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Date

2021

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Faculty of Mathematics and Computer Science Department of Mathematics - Option : Algebra and Discrete Mathematics

Abstract

In this memory, we will study the arithmetic operations in the quotient ring of ๐น๐‘ž[x] by the polynomial xโฟ, xโฟโบยน=xโฟ, n=1,2,3 where ๐น๐‘ž is a finite field of order q. We will recall some basic concepts about the rings. In addition, we will present some notes over the arithmetic operations in the Ring ๐น๐‘ž[e].

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Keywords

Group, subgroup, ring, field, ideal, maximal ideal, quotient ring, Homomorphism Ring.

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