On the category of mθ sets

Armand, Tsimi Jean

doi:10.1080/09720529.2020.1861781

Open Access Research Article

On the category of mθ sets

^*Tsimi Jean ArmandCorresponding authortsimije@yahoo.frDepartment of Mathematics and Computer SciencesFaculty of SciencesUniversity of DoualaP. O. Box 24157 Douala, CameroonView full profile →

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pp. 11–28Vol. 26Issue 1February 2021DOI: 10.1080/09720529.2020.1861781 Crossmark XML

Received:: 30 Apr 2020
Accepted:: 30 Oct 2020
Published Online:: 26 Oct 2021
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-1225
Pages:: 11–28

Abstract

In this text, our purpose is to define the category of modal θ-valent sets denoted ENS θ and see whether it is a topos.

Keywords

mθ sets mθ monomorphism mθ epimorphism mθ isomorphism mθ terminal object mθ subobjects classifier mθ topos

Subject Classifications

46M1518A0518B0558A03

References

F. Ayissi Eteme, ‘‘Logique et Algèbre de structures mathématiques modales θ -valentes chrysippiennes’’, Hermann, Paris, 2009. [Google Scholar]
F. Ayissi Eteme, Complétion Chrysippienne d’une algèbre de Lukasiewicz θ -valente, CRA S, Paris,299, Series 1, 69-72. N⁰ 3, 1984, PP [Google Scholar]
F. Ayissi Eteme and J. A. Tsimi, A modal θ -valent approach of the notion of code, Journal of Discrete Mathematical Sciences and Cryptography, Vol.14(2011), N⁰ 5, PP.445-473. doi: https://doi.org/10.1080/09720529.2011.10698348 [Taylor & Francis Online], [Google Scholar]
F. Ayissi Eteme and J. A. Tsimi, A m θ approach of the algebraic theory of linear codes, Journal of Discrete Mathematical Sciences and Cryptography, Vol.14 (2011), N⁰ 6, PP.559-581. doi: https://doi.org/10.1080/09720529.2011.10698356 [Taylor & Francis Online], [Google Scholar]
F. Ayissi Eteme, A Chrm θ number codes design, Journal of Information and Optimization, Vol. 37(2016), N⁰ 6, PP.839-846. doi: https://doi.org/10.1080/02522667.2015.1107330 [Taylor & Francis Online], [Web of Science ®], [Google Scholar]
M. Mehdi Ebrahimi, Intrenal Completeness and Injectivity of Boolean algebras in the Topos of M -sets, Bull. Austral.Math Vol.41, No.2, 1990, 323-332. doi: https://doi.org/10.1017/S0004972700018141 [Crossref], [Web of Science ®], [Google Scholar]
P. T. Johnstone, Topos Theory, Academic press(1977). [Google Scholar]

Views: 138Downloads: 131Citations: 1

[1] F. Ayissi Eteme, ‘‘Logique et Algèbre de structures mathématiques modales θ -valentes chrysippiennes’’, Hermann, Paris, 2009. [Google Scholar]

[2] F. Ayissi Eteme, Complétion Chrysippienne d’une algèbre de Lukasiewicz θ -valente, CRA S, Paris,299, Series 1, 69-72. N⁰ 3, 1984, PP [Google Scholar]

[3] F. Ayissi Eteme and J. A. Tsimi, A modal θ -valent approach of the notion of code, Journal of Discrete Mathematical Sciences and Cryptography, Vol.14(2011), N⁰ 5, PP.445-473. doi: https://doi.org/10.1080/09720529.2011.10698348 [Taylor & Francis Online], [Google Scholar]

[4] F. Ayissi Eteme and J. A. Tsimi, A m θ approach of the algebraic theory of linear codes, Journal of Discrete Mathematical Sciences and Cryptography, Vol.14 (2011), N⁰ 6, PP.559-581. doi: https://doi.org/10.1080/09720529.2011.10698356 [Taylor & Francis Online], [Google Scholar]

[5] F. Ayissi Eteme, A Chrm θ number codes design, Journal of Information and Optimization, Vol. 37(2016), N⁰ 6, PP.839-846. doi: https://doi.org/10.1080/02522667.2015.1107330 [Taylor & Francis Online], [Web of Science ®], [Google Scholar]

[6] M. Mehdi Ebrahimi, Intrenal Completeness and Injectivity of Boolean algebras in the Topos of M -sets, Bull. Austral.Math Vol.41, No.2, 1990, 323-332. doi: https://doi.org/10.1017/S0004972700018141 [Crossref], [Web of Science ®], [Google Scholar]

[7] P. T. Johnstone, Topos Theory, Academic press(1977). [Google Scholar]

Journal of Discrete Mathematical Sciences and Cryptography

On the category of mθ sets

Abstract

Keywords

Subject Classifications

References