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Author: L. C. Ciungu
Publisher: Infinite Study
Published:
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOK →In this paper, we define the notion of Smarandache pseudo-CI algebras and we investigate their properties. We also define and study the notions of Smarandache filters, pseudo-CI Smarandache homomorphisms and modal Smarandache operators on pseudo-CI algebras.
Author: L. C. Ciungu
Publisher: Infinite Study
Published: 2022-01-01
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOK →In this paper, we define the notion of Smarandache pseudo-CI algebras and we investigate their properties. We also define and study the notions of Smarandache filters, pseudo-CI Smarandache homomorphisms and modal Smarandache operators on pseudo-CI algebras. The classes of Smarandache fantastic, implicative and positive implicative filters of Smarandache pseudo-CI algebras are defined and studied by extending some results regarding Smarandache fantastic, fresh and clean ideals in Smarandache BCI-algebras and Smarandache BCH-algebras to the case of Smarandache pseudo-CI algebras. The notion of Smarandache commutative pseudo-CI algebras is defined and a characterization theorem is given. It is proved that in the case of commutative Q-Smarandache pseudo-CI algebras the notions of Smarandache filters and fantastic filters coincide.
Author: Akbar Rezaei
Publisher: Infinite Study
Published:
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOK →In this paper, we introduce the notions of N-subalgebras and N- lters based on Smarandache CI-algebra and give a number of their properties. The relationship between N(Q; f)-subalgebras( lters) and N-subalgebras( lters) are also investigated.
Author: Arsham Borumand Saeid
Publisher: Infinite Study
Published:
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOK →In this paper, the notions of CI-algebras, Smarandache CI-algebra, Q-Smarandache filters and Q-Smarandache ideals are introduced. Finally, we introduced the concepts of Smarandache BE-algebra, Smarandache dual BCK-algebra and Smarandache n-structure on CI-algebra.
Author: Florentin Smarandache
Publisher: Infinite Study
Published: 2020-05-14
Total Pages: 8
ISBN-13:
DOWNLOAD EBOOK →In this paper, as an extension of CI-algebras, we discuss the new notions of Neutro-CI-algebras and Anti-CI-algebras. First, some examples are given to show that these definitions are different. We prove that any proper CI-algebra is a Neutro-BE-algebra or Anti-BE-algebra. Also, we show that any NeutroSelf-distributive and AntiCommutative CIalgebras are not BE-algebras.
Author: Arsham Borumand Saeid
Publisher: Infinite Study
Published:
Total Pages: 65
ISBN-13: 1599732416
DOWNLOAD EBOOK →v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:8.0pt; mso-para-margin-left:0in; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} There are three types of Smarandache Algebraic Structures: 1. A Smarandache Strong Structure on a set S means a structure on S that has a proper subset P with a stronger structure. A Smarandache Weak Structure on a set S means a structure on S that has a proper subset P with a weaker structure. A Smarandache Strong-Weak Structure on a set S means a structure on S that has two proper subsets: P with a stronger structure, and Q with a weaker structure. By proper subset of a set S, one understands a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any. Having two structures {u} and {v} defined by the same operations, one says that structure {u} is stronger than structure {v}, i.e. {u} > {v}, if the operations of {u} satisfy more axioms than the operations of {v}. Each one of the first two structure types is then generalized from a 2-level (the sets P ⊂ S and their corresponding strong structure {w1}>{w0}, respectively their weak structure {w1}<{w0}) to an n-level (the sets Pn-1 ⊂ Pn-2 ⊂ … ⊂ P2 ⊂ P1 ⊂ S and their corresponding strong structure {wn-1} > {wn-2} > … > {w2} > {w1} > {w0}, or respectively their weak structure {wn-1} < {wn-2} < … < {w2} < {w1} < {w0}). Similarly for the third structure type, whose generalization is a combination of the previous two structures at the n-level. A Smarandache Weak BE-Algebra X is a BE-algebra in which there exists a proper subset Q such that 1 Q, |Q| ≥ 2, and Q is a CI-algebra. And a Smarandache Strong CI-Algebra X is a CI-algebra X in which there exists a proper subset Q such that 1 Q, |Q| ≥ 2, and Q is a BE-algebra. The book elaborates a recollection of the BE/CI-algebras, then introduces these last two particular structures and studies their properties.
Author: Xiaohong Zhang
Publisher: Infinite Study
Published:
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOK →The new notion of a neutrosophic triplet group (NTG) is proposed by Florentin Smarandache; it is a new algebraic structure different from the classical group.
Author: LAVINIA CORINA CIUNGU
Publisher: Infinite Study
Published:
Total Pages: 21
ISBN-13:
DOWNLOAD EBOOK →In this paper we introduce the very true operators on pseudo-BCK algebras and we study their properties. We prove that the composition of two very true operators is a very true operator if and only if they commute.
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Published: 2023-12-15
Total Pages: 694
ISBN-13:
DOWNLOAD EBOOK →[ADDRESSED CITATION] [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). In this scientific research book, there are some scientific research chapters on “Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs” and “Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs” about some scientific researches on Dominating Sequence In Neutrosophic SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs and Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs theory and Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 3230 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United State. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4117 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and SuperHyperPerfect Search In SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf). — — — 316 [HG316] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10263440). @ResearchGate: https://www.researchgate.net/publication/376230123 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10263440 @academia: https://www.academia.edu/110646753 — 316 [HG316] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10263440). @facebook: https://www.facebook.com/DrHenryGarrettNYC/posts/pfbid05MKoSp68f2E63VCLKZKjA49j9sMABTeRVSLwV4MxsT5qK6gZDo8ctEmhngEo1q86l PAGE @facebook: https://www.facebook.com/DrHenryGarrett/posts/pfbid036P7TpAMYVdbAMnLbKKssrbfeetMd7DmWXPEmSbfCup7qbx5TNmiR29KRZTZyDidl @LinkedIn: https://www.linkedin.com/feed/update/urn:li:ugcPost:7137860793093529600/ @instagram: https://www.instagram.com/p/C0ewc4iLT4A/ @X: https://x.com/DrHenryGarrettX/status/1732094549369999857?s=20 @X: https://x.com/DrHenryGarrettX/status/1732094791800721866?s=20 @X: https://x.com/DrHenryGarrettX/status/1732094837304786944?s=20 — — 317 [HG317] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Bipartite and Path By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10299535). @ResearchGate: https://www.researchgate.net/publication/376314727 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10299535 @academia: https://www.academia.edu/110872281 — 317 [HG317] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Bipartite and Path By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10299535). @facebook: https://www.facebook.com/DrHenryGarrettNYC/posts/pfbid036a6EZhMmNnMA8N1VNhygQfxShxw5SXfTAxBPFin4VKUUq7i7xQn5AJMhSQBVaYDfl PAGE @facebook: https://www.facebook.com/DrHenryGarrett/posts/pfbid0r7Mk6Rtnw19SmJvkvrdXsE3P1ZCXxgr87CTpkKHdyWjsNCCG2b37xPQwUafoRbf1l @LinkedIn: https://www.linkedin.com/feed/update/urn:li:ugcPost:7138824505182842881/ @Instagram: https://www.instagram.com/p/C0lmWzAKsUr/ @Twitter: https://x.com/DrHenryGarrettX/status/1733058108413366361?s=20 @Twitter: https://x.com/DrHenryGarrettX/status/1733058088381399323?s=20 @Twitter: https://x.com/DrHenryGarrettX/status/1733058015232741605?s=20 — — 318 [HG318] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Star and Wheel By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10371529). @ResearchGate: https://www.researchgate.net/publication/376477572 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10371529 @academia: https://www.academia.edu/111329570 — 318 [HG318] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Star and Wheel By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10371529). @facebook: https://www.facebook.com/DrHenryGarrettNYC/posts/pfbid02vVPDwjGKSduiP19fRrVfCbKYx28XWsdA9tZwbexd3EnG1CiW4Vk1xFeBfEnjroMjl PAGE @facebook: https://www.facebook.com/DrHenryGarrett/posts/pfbid02eHrDgBHCgH1G887Y9Hp37ZS2oXCW8me5b4gvedDn8Ew7z8JMy4Vm3unVX3GchNuUl @LinkedIn: https://www.linkedin.com/feed/update/urn:li:activity:7140980225345069056 @Instagram: https://www.instagram.com/p/C00616YMjnn/ @Twitter: https://x.com/DrHenryGarrettX/status/1735212500545650728?t=E9MfGi4pqOnpEE1FHUE9fg\&s=19 @Twitter: https://x.com/DrHenryGarrettX/status/1735213214353265094?t=UI\_LOXibEQRI3DR39nkanQ\&s=19 @Twitter: https://x.com/DrHenryGarrettX/status/1735213998692274638?t=t4DV1z7AdP6-L-M1u9aWFw\&s=19 — “Book #195” [ADDRESSED CITATION] [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). @googlebooks:https://books.google.com/books/about?id=- @GooglePlay:https://play.google.com/store/books/details?id=- @ResearchGate: https://www.researchgate.net/publication/- @WordPress: https://drhenrygarrett.wordpress.com/2023/12/17/Dominating-Sequence-In-Neutrosophic-SuperHyperGraphs/ @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10042973 @academia:https://www.academia.edu/- Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — — [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). #Link (KE):https://www.amazon.com/dp/- (SC):https://www.amazon.com/dp/- (HC):https://www.amazon.com/dp/- #ISBN CC BY-NC-ND 4.0 - - Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle —
Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 480
ISBN-13: 3038973858
DOWNLOAD EBOOK →Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
