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Finding units in the quotient ring Z[X]/(f)

Bouma, Jelmer (2025) Finding units in the quotient ring Z[X]/(f). Bachelor's Thesis, Mathematics.

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Abstract

This thesis discusses a proof that $\mathbb{Z}[X]/(f)$ always contains a nontrivial unit for monic, irreducible $f$ of degree 4 with no real roots. We also discuss the structure of the unit group of this ring.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Top, J. and Ozman, E.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 14 Jul 2025 11:40
Last Modified: 14 Jul 2025 11:40
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/36133

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