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- Title
The Greatest Common Divisors and The Least Common Multiples in Neutrosophic Integers.
- Authors
ÇEVEN, Yılmaz; ÇETİN, Özlem
- Abstract
As a continuation of previous studies, we give some results about the neutrosophic integers theory. We first stated that the neutrosophic real numbers are not closed according to the division operation. Later, we gave divisibility properties of neutrosophic integers. We have given properties such as the greatest common divisor for two neutrosophic integers being positive and unique. Then, we gave the Euclid's Theorem, Bezout's Theorem for neutrosophic ingers set Z[I]. It is known that these concepts are important for number theory in integers set Z. Finally, it is defined the least common multiple for neutrosophic integers. Finally, a theorem is given which enables one to easily find the least common multiple of neutrosophic integers and after a conclusion about the sign of the product of two neutrosophic integers, a theorem is given that shows the relationship of between the greatest common divisor with the least common multiple.
- Subjects
NEUTROSOPHIC logic; INTEGERS; REAL numbers; EUCLIDEAN algorithm; NUMBER theory; ALGORITHMS
- Publication
Journal of Natural & Applied Sciences, 2023, Vol 27, Issue 3, p411
- ISSN
1300-7688
- Publication type
Article
- DOI
10.19113/sdufenbed.1251290