Download or read book On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Idempotent elements in a ring 𝑅 are the elements with the condition 𝒂𝟐=𝒂. This paper introduces the criterion of any element in a refined neutrosophic ring to be idempotent. Also, the concept of symmetric and supersymmetric elements in a neutrosophic ring 𝑅(𝐼), and a refined neutrosophic ring 𝑅(𝐼1,𝐼2) are defined. Also, the invertibility of these elements is discussed.

Download or read book Refined Neutrosophic Rings II written by E.O. Adeleke and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is the continuation of the work started in the paper titled “Refined Neutrosophic Rings I”. In the present paper, we study refined neutrosophic ideals and refined neutrosophic homomorphisms along their elementary properties.

Download or read book n Refined Neutrosophic Rings written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

Download or read book n Refined Neutrosophic Rings written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

Download or read book Refined Neutrosophic Rings I written by E.O. Adeleke and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of refined neutrosophic rings is the objective of this paper. Substructures of refined neutrosophic rings and their elementary properties are presented. It is shown that every refined neutrosophic ring is a ring.

Download or read book On clean neutrosophic rings written by Suryoto and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: A commutative ring is said to be clean if every element of the ring can be written as a sum of a unit and an idempotent. In this paper, we generalize this argument to structure of neutrosophic. We present the structure of clean neutrosophic ring. Some elementary properties of clean neutrosophic ring are also presented.

Download or read book A Study of Some Neutrosophic Differential Equations as a Direct Application of One Dimensional Geometric AH Isometry written by Ahmed A. Salama and published by Infinite Study. This book was released on 2022-01-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.

Download or read book n Refined Neutrosophic Vector Spaces written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces the concept of n-refined neutrosophic vector spaces as a generalization of neutrosophic vector spaces, and it studies elementary properties of them. Also, this work discusses some corresponding concepts such as weak/strong n-refined neutrosophic vector spaces, and n-refined neutrosophic homomorphisms.

Download or read book On Some Algebraic Properties of n Refined Neutrosophic Elements and n Refined Neutrosophic Linear Equations written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the problem of determining invertible elements (units) in any n-refined neutrosophic ring. It presents the necessary and sufficient condition for any n-refined neutrosophic element to be invertible, idempotent, and nilpotent. Also, this work introduces some of the elementary algebraic properties of n-refined neutrosophic matrices with a direct application in solving n-refined neutrosophic algebraic equations.

Download or read book Neutrosophic Units of Neutrosophic Rings and Fields written by T. Chalapathi and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the inter connection between classical structures and Neutrosophic structures is studied by few researchers. For such kind of study, researchers defined new algebraic structures whose elements are generated by elements in classical algebraic set and indeterminate of the real world problem with respect to algebraic operations on the well defined Neutrosophic elements.

Download or read book A Study of Nil Ideals and Kothe s Conjecture in Neutrosophic Rings written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this study is to determine the necessary and sufficient condition for any AH subset to be a full ideal in a neutrosophic ring R(I) and to be a nil ideal too. Also, this work shows the equivalence between Kothe’s conjecture in classical rings and corresponding neutrosophic rings, i.e., it proves that Kothe’s conjecture is true in the neutrosophic ring R(I) if and only if it is true in the corresponding classical ring R.

Download or read book AH Homomorphisms in Neutrosophic Rings and Refined Neutrosophic Rings written by Hasan Sankari and published by Infinite Study. This book was released on 2020-12-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic relations between rings are determined by homomorphisms and isomorphisms. This paper introduces a new kind of algebraic functions between two neutrosophic rings to give more agility in the exploring of neutrosophic substructures properties, where it generalizes the concept of AHS-homomorphism in neutrosophic rings, and refined neutrosophic rings. Also, it determines the algebraic structure of neutrosophic AH-endomorphisms of the additive group of neutrosophic ring and refined neutrosophic ring.

Download or read book Self Additive Inverse Elements of Neutrosophic Rings and Fields written by T.Chalapathi and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Neutrosophic theory is an abstract branch of modern mathematics that originated from classical algebra through the composition of Neutrosophic theory. Its development started few years ago, and now a days Neutrosophic analytic methods and results are important in various fields of engineering science and applied mathematics with its applications.

Download or read book International Journal of Neutrosophic Science IJNS Volume 14 2021 written by Broumi Said and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications.

Download or read book n Refined Neutrosophic Modules written by Hasan Sankari and published by Infinite Study. This book was released on 2020-10-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Recent Advantages In Neutrosophic Module Theory written by Rozina Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is dedicated to give the interested reader a good review and background in recent developments in the field of neutrosophic algebraic module theory.

Download or read book Theory on Duplicity of Finite Neutrosophic Rings written by T. Chalapathi and published by Infinite Study. This book was released on 2023-01-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields.