Study on the Algebraic Structure of Refined Neutrosophic Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Study on the Algebraic Structure of Refined Neutrosophic Numbers write by Qiaoyan Li . This book was released on . Study on the Algebraic Structure of Refined Neutrosophic Numbers available in PDF, EPUB and Kindle. This paper aims to explore the algebra structure of refined neutrosophic numbers. Firstly, the algebra structure of neutrosophic quadruple numbers on a general field is studied. Secondly, The addition operator and multiplication operator on refined neutrosophic numbers are proposed and the algebra structure is discussed. We reveal that the set of neutrosophic refined numbers with an additive operation is an abelian group and the set of neutrosophic refined numbers with a multiplication operation is a neutrosophic extended triplet group. Moreover, algorithms for solving the neutral element and opposite elements of each refined neutrosophic number are given.
n-Refined Neutrosophic Groups I
n-Refined Neutrosophic Groups I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook n-Refined Neutrosophic Groups I write by Mohammad Abobala. This book was released on . n-Refined Neutrosophic Groups I available in PDF, EPUB and Kindle. The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.
Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies
Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies write by Florentin Smarandache. This book was released on . Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies available in PDF, EPUB and Kindle. In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, neutrosophic intervals, neutrosophic hypercomplex numbers of dimension n, and elementary neutrosophic algebraic structures.
(t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited)
(t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook (t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited) write by Florentin Smarandache. This book was released on . (t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited) available in PDF, EPUB and Kindle. This paper is an improvement of our paper “(t, i, f)-Neutrosophic Structures” [1], where we introduced for the first time a new type of structures, called (t, i, f)Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed particular cases of such structures in geometry and in algebra.
n-Refined Neutrosophic Modules
n-Refined Neutrosophic Modules - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook n-Refined Neutrosophic Modules write by Hasan Sankari. This book was released on 2020-10-01. n-Refined Neutrosophic Modules available in PDF, EPUB and Kindle. This paper introduces the concept of n-refined neutrosophic module as a new generalization of neutrosophic modules and refined neutrosophic modules respectively and as a new algebraic application of n-refined neutrosophic set. It studies elementary properties of these modules. Also, This work discusses some corresponding concepts such as weak/strong n-refined neutrosophic modules, n-refined neutrosophic homomorphisms, and kernels.
