The NILPOTENT Characterization of the finite neutrosophic p-groups
The NILPOTENT Characterization of the finite neutrosophic p-groups

Author: S. A. Adebisi

Publisher: Infinite Study

Published: 2022-01-01

Total Pages: 5

ISBN-13:

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A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This un doubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive analysis. The nilpotent characterisation depicts that there exists a derived series (Lower Central) which must terminate at {ϵ} ( an identity ), after a finite number of steps. Now, Suppose that G(I) is a neutrosophic p-group of class at least m ≥ 3. We show in this paper that Lm−1(G(I)) is abelian and hence G(I) possesses a characteristic abelian neutrosophic subgroup which is not supposed to be contained in Z(G(I)). Furthermore, If L3(G(I)) = 1 such that pm is the highest order of an element of G(I)/L2(G(I)) (where G(I) is any neutrosophic p-group) then no element of L2(G(I)) has an order higher than pm.

On Refined Neutrosophic Finite p-Group
On Refined Neutrosophic Finite p-Group

Author: Sunday Adesina Adebisi

Publisher: Infinite Study

Published: 2023-01-01

Total Pages: 5

ISBN-13:

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The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent.

Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties
Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties

Author: Mumtaz Ali

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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The theory of soluble groups and nilpotent groups is old and hence a generalized on. In this paper, we introduced neutrosophic soluble groups and neutrosophic nilpotent groups which have some kind of indeterminacy. These notions are generalized to the classic notions of soluble groups and nilpotent groups. We also derive some new type of series which derived some new notions of soluble groups and nilpotent groups. They are mixed neutrosophic soluble groups and mixed neutrosophic nilpotent groups as well as strong neutrosophic soluble groups and strong neutrosophic nilpotent groups.

Neutrosophic Rings
Neutrosophic Rings

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2006-01-01

Total Pages: 154

ISBN-13: 1931233209

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Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.

Further Theory of Neutrosophic Triplet Topology and Applications
Further Theory of Neutrosophic Triplet Topology and Applications

Author: Mohammed A. Al Shumrani

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the idea of Neutrosophic Triplet Sets.

Dramaturgy of Form
Dramaturgy of Form

Author: Kasia Lech

Publisher: Routledge

Published: 2021-03-01

Total Pages: 110

ISBN-13: 0429535678

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Dramaturgy of Form examines verse in twenty-first-century theatre practice across different languages, cultures, and media. Through interdisciplinary engagement, Kasia Lech offers a new method for verse analysis in the performance context. The book traces the dramaturgical operation of verse in new writings, musicals, devised performances, multilingual dramas, Hip Hop theatre, films, digital projects, and gig theatre, as well as translations and adaptations of classics and new theatre forms created by Irish, Spanish, Nigerian, Polish, American, Canadian, Australian, British, Russian, and multinational artists. Their verse dramaturgies explore timely issues such as global identities, agency and precarity, global and local politics, and generational and class stories. The development of dramaturgy is discussed with the focus turning to the new stylized approach to theatre, whose arrival Hans-Thies Lehmann foretold in his Postdramatic Theatre, documenting a turning point for contemporary Western theatre. Serving theatre-makers, scholars, and students working with classical and contemporary verse and poetry in performance contexts; practitioners and academics of aural and oral dramaturgies; voice and verse-speaking coaches; and actors seeking the creative opportunities that verse offers, Dramaturgy of Form reveals verse as a tool for innovation and transformation that is at the forefront of contemporary practices and experiences.

Before Religion
Before Religion

Author: Brent Nongbri

Publisher: Yale University Press

Published: 2013-01-22

Total Pages: 315

ISBN-13: 0300154178

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Examining a wide array of ancient writings, Brent Nongbri dispels the commonly held idea that there is such a thing as ancient religion. Nongbri shows how misleading it is to speak as though religion was a concept native to pre-modern cultures.

When Sex Threatened the State
When Sex Threatened the State

Author: Saheed Aderinto

Publisher: University of Illinois Press

Published: 2014-12-30

Total Pages: 265

ISBN-13: 0252096843

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Breaking new ground in the understanding of sexuality's complex relationship to colonialism, When Sex Threatened the State illuminates the attempts at regulating prostitution in colonial Nigeria. As Saheed Aderinto shows, British colonizers saw prostitution as an African form of sexual primitivity and a problem to be solved as part of imperialism's "civilizing mission". He details the Nigerian response to imported sexuality laws and the contradictory ways both African and British reformers advocated for prohibition or regulation of prostitution. Tracing the tensions within diverse groups of colonizers and the colonized, he reveals how wrangling over prostitution camouflaged the negotiating of separate issues that threatened the social, political, and sexual ideologies of Africans and Europeans alike. The first book-length project on sexuality in early twentieth century Nigeria, When Sex Threatened the State combines the study of a colonial demimonde with an urban history of Lagos and a look at government policy to reappraise the history of Nigerian public life.