On The Classification of 3-Cyclic/4-Cyclic Refined Neutrosophic Real and Rational Von Shtawzen's Group.

Autor: Salman, Nabil Khuder, Vazquez, Maikel Leyva, Hernández Noel, Batista
Předmět:
Zdroj: International Journal of Neutrosophic Science (IJNS); 2024, Vol. 23 Issue 2, p26-31, 6p
Abstrakt: This paper aims to solve the group of units problem for 3-cyclic real and rational refined neutrosophic rings and 4-cyclic real and rational refined neutrosophic rings, where ring isomorphisms between the real/rational 3-cyclic and 4-cyclic refined neutrosophic rings and the direct product of some field extensions of Q and R. These isomorphisms will help in classifying the group of units of each studied ring in terms of direct products of classical well-known abelian groups. Also, we use the classification isomorphisms to determine all ideals in these classes of algebraic rings. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index