lõppkvaternioonide
Lõppkvaternioonid, also known as finite quaternions, are a fascinating area of abstract algebra that extends the concept of quaternions to finite fields. Standard quaternions, developed by William Rowan Hamilton, are number systems of the form a + bi + cj + dk, where a, b, c, and d are real numbers and i, j, and k are imaginary units satisfying specific multiplication rules. Lõppkvaternioonid replace these real coefficients with elements from a finite field, such as the field of integers modulo a prime number, denoted as F_p.
The structure and properties of lõppkvaternioonid depend heavily on the characteristics of the finite field they
However, if the prime p is congruent to 1 modulo 4, or if the field is F_2,