Algebra

2109 Submissions

[3] viXra:2109.0199 [pdf] submitted on 2021-09-28 19:17:21

The Link Between Algebraic and Rational Homogeneous Linear Recurrences

Authors: Deepak Ponvel Chermakani
Comments: 3 Theorems and 7 pages with 1 example [Correction made by viXra Admin.]

We show that the nth term of an algebraic homogeneous linear-recurrence, can be expressed as a weighted sum of the nth terms of a finite number of rational homogeneous linear recurrences. The weights in this weighted sum belong to a finite set of algebraic constants, no two of which are rational multiples of each other.
Category: Algebra

[2] viXra:2109.0170 [pdf] submitted on 2021-09-23 10:48:24

On Fermat's Last Theorem (III)

Authors: Richard Wayte
Comments: 6 Pages.

Fermat’s Last Theorem is proved using elementary arithmetic.
Category: Algebra

[1] viXra:2109.0052 [pdf] submitted on 2021-09-08 21:29:01

Pinhole Cameras and Division by Zero Calculus

Authors: Saburou Saitoh
Comments: 4 Pages.

From the elementary example of pinhole cameras, the essential fact of the division by zero calculus may be looked and at the same time, some great impacts to rational mappings are referred with the basic interrelation with zero and infinity. Some strong discontinuity property at infinity may be looked as a very interesting property.
Category: Algebra