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Introduction to AntiRings

2020-10-01 Mathematics
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Release : 2020-10-01
Genre : Mathematics
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Book Synopsis Introduction to AntiRings by : A.A.A. Agboola

Download or read book Introduction to AntiRings written by A.A.A. Agboola. This book was released on 2020-10-01. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to introduce the concept of AntiRings. Several examples of AntiRings are presented. Specifically, certain types of AntiRings and their substructures are studied. It is shown that nonempty subsets of an AntiRing can be AntiRings with algebraic properties different from the algebraic properties of the parent AntiRing under the same binary operations. AntiIdeals, AntiQuotientRings and AntiRingHomomorphisms are studied with several examples. It is shown that the quotient of an AntiRing factored by an AntiIdeal can exhibit algebraic properties different from the algebraic properties of the AntiRing.

Introduction to NeutroHyperGroups

2020-12-01 Mathematics
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Release : 2020-12-01
Genre : Mathematics
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Book Synopsis Introduction to NeutroHyperGroups by : M. A. Ibrahim

Download or read book Introduction to NeutroHyperGroups written by M. A. Ibrahim. This book was released on 2020-12-01. Available in PDF, EPUB and Kindle. Book excerpt: NeutroSophication and AntiSophication are processes through which NeutroAlgebraic and AntiAlgebraic structures can be generated from any classical structures. Given any classical structure with m operations (laws and axioms) we can generate NeutroStructures and AntiStructures. In this paper, we introduce for the first time the concept of NeutroHyperGroups.

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

2020-10-01 Mathematics
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Release : 2020-10-01
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Book Synopsis Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 written by Florentin Smarandache. This book was released on 2020-10-01. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.

Neutrosophic Sets and Systems, Vol. 36, 2020

Mathematics
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Book Synopsis Neutrosophic Sets and Systems, Vol. 36, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 36, 2020 written by Florentin Smarandache. This book was released on . 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. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

2022-04-15 Mathematics
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Release : 2022-04-15
Genre : Mathematics
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Book Rating : 970/5 ( reviews)

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Book Synopsis Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras by : Smarandache, Florentin

Download or read book Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras written by Smarandache, Florentin. This book was released on 2022-04-15. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities as well as their interactions with different ideational spectra. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

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