Introduction To Antirings


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Introduction to AntiRings


Introduction to AntiRings

Author: A.A.A. Agboola

language: en

Publisher: Infinite Study

Release Date: 2020-10-01


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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


Introduction to NeutroHyperGroups

Author: M. A. Ibrahim

language: en

Publisher: Infinite Study

Release Date: 2020-12-01


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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


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

Author: Florentin Smarandache

language: en

Publisher: Infinite Study

Release Date: 2020-10-01


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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.