Tensor: Pure and Applied Mathematics Journal
Vol 6 No 1 (2025): Tensor: Pure and Applied Mathematics Journal

Fungsi Trace dan Fungsi Norm Lapangan Perluasan Atas Q

Dahoklory, Novita (Unknown)
Patty, Henry Willyam Michel (Unknown)

Article Info

Publish Date
08 Sep 2025

Abstract

Suppose L/K is an extension field where K⊆L so that L can be viewed as a vector space over K. Moreover, it is known that for every α∈L, we can construct a linear transformation T_α: L→L where T_α (x)=αx for all x∈L so that we have the representation matrix [T_α] of T_α. In this study, the trace and norm functions are discussed which are defined using the trace and determinant of the matrix [T_α]. Furthermore, this study will also discuss the application of the trace and norm functions in the field of an extension field especially Q(∛2) over Q.

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Journal Info
Tensor: Pure and Applied Mathematics Journal
Website

Abbrev

tensor

Publisher

Universitas Pattimura

Subject

Computer Science & IT Mathematics

Description

Tensor: Pure and Applied Mathematics Journal is an international academic open access journal that gains a foothold in the field of mathematics and its applications which is issued twice a year. The focus is to publish original research and review articles on all aspects of both pure and applied ...