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The Structure Of Idempotents In Neutrosophic Rings And Neutrosophic Quadruple Rings
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Book Synopsis The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings by : Yingcang Ma
Download or read book The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings written by Yingcang Ma and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.
Book Synopsis The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings by : Yingcang Ma
Download or read book The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings written by Yingcang Ma and published by Infinite Study. This book was released on 2019-10-08 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.
Book Synopsis Semi-Idempotents in Neutrosophic Rings by : Vasantha Kandasamy W.B.
Download or read book Semi-Idempotents in Neutrosophic Rings written by Vasantha Kandasamy W.B. and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In complex rings or complex fields, the notion of imaginary element i with i2 = -1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I2 = I is included. The neutrosophic ring hR [ Ii is also a ring generated by R and I under the operations of R. In this paper we obtain a characterization theorem for a semi-idempotent to be in hZp [ Ii, the neutrosophic ring of modulo integers, where p a prime. Here, we discuss only about neutrosophic semi-idempotents in these neutrosophic rings. Several interesting properties about them are also derived and some open problems are suggested.
Book Synopsis On clean neutrosophic rings by : Suryoto
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.
Book Synopsis On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings by : Mohammad Abobala
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.
Book Synopsis Neutrosophic Triplets in Neutrosophic Rings by : Vasantha Kandasamy W. B.
Download or read book Neutrosophic Triplets in Neutrosophic Rings written by Vasantha Kandasamy W. B. and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is proved that these rings can contain only three types of neutrosophic triplets, these collections are distinct, and these collections form a torsion free abelian group as triplets under component wise product. However, these collections are not even closed under component wise addition.
Book Synopsis New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by : Florentin Smarandache
Download or read book New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications written by Florentin Smarandache and published by MDPI. This book was released on 2019-11-27 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.
Book Synopsis Collected Papers. Volume IX by : Florentin Smarandache
Download or read book Collected Papers. Volume IX written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-05-10 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.
Book Synopsis Neutrosophic Sets and Systems, Vol. 39, 2021 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 39, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Book Synopsis Neutrosophic Units of Neutrosophic Rings and Fields by : T. Chalapathi
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.
Book Synopsis NeutroAlgebra of Neutrosophic Triplets by : Vasantha Kandasamy
Download or read book NeutroAlgebra of Neutrosophic Triplets written by Vasantha Kandasamy and published by Infinite Study. This book was released on 2020-12-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.
Book Synopsis Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings by : Vasantha W.B.
Download or read book Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings written by Vasantha W.B. and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed. Neutrosophic duplets and their properties were introduced by Florentin and other researchers have pursued this study.In this paper authors determine the neutrosophic duplets in neutrosophic rings of characteristic zero.
Book Synopsis On Some Properties of Neutrosophic Quadruple Hv-Rings by : Madeleine Al-Tahan
Download or read book On Some Properties of Neutrosophic Quadruple Hv-Rings written by Madeleine Al-Tahan and published by Infinite Study. This book was released on 2020-10-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperstructure theory, an 86 years old theory, has been of great interest for many algebraists where their researches were divided in to two categories: theory and applications. On the other hand, neutrosophic theory which is the study of neutralities, was introduced and developed by F. Smarandache in 1995 as an extension of dialectics. The purpose of this paper is to study some connections between the two theories: Neutrosophy and hyperstructures. In this regard, we define neutrosophic quadruple Hv-rings, neutrosophic quadruple Hv-subrings, and neutrosophic quadruple homomorphism and study their various properties.
Book Synopsis A Study on Neutrosophic Zero Rings by : T.Chalapathi
Download or read book A Study on Neutrosophic Zero Rings written by T.Chalapathi and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract algebra is largely concerned with the study of abstract sets endowed with one, or, more binary operations along with few axioms. In this paper, we consider one of the basic algebraic structures known as a ring, called a classical ring.
Book Synopsis An Approach to Neutrosophic Subrings by : Vildan Çetkin
Download or read book An Approach to Neutrosophic Subrings written by Vildan Çetkin and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article we aim to construct some algebra on single valued neutrosophic sets. For this reason, we propose a new notion which is called a neutrosophic subring by combining the ring structure and neutrosophic sets. Then we establish some fundamental characteristics of the presented notion.
Book Synopsis AH-Homomorphisms in Neutrosophic Rings and Refined Neutrosophic Rings by : Hasan Sankari
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.
Book Synopsis n- Refined Neutrosophic Rings by : Florentin Smarandache
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.
