Research Article

Fuzziness on Hopf Algebraic Structures with Its Application

Number: 35 June 30, 2021
EN

Fuzziness on Hopf Algebraic Structures with Its Application

Abstract

The objective of writing this manuscript is to apply the concept of fuzzy set on some basic Hopf algebraic structures. In this manuscript, the novel concepts of fuzzy Hopf subalgebra, fuzzy Hopf ideal, and fuzzy H-submodule are proposed. Some properties of these concepts are discussed, and some significant results are also proved in it. The advantages of the proposed work are also studied in it. The application of the proposed work is also discussed in it.

Keywords

References

  1. H. Hopf, Uber die Topologie der Gruppen-Mannigfaltigkeiten und ihrer Verallgemeinerungen, Annals of Mathematics 42(1) (1941) 22-52.
  2. H. Hopf, Uber den Rang Geschlossener Liescher Gruppen, Commentarii Mathematici Helvetici 13 (1940) 119-143.
  3. E. Abe, Hopf Algebras, Cambridge University Press, 1997.
  4. M. Cohen, D. Fishman, Hopf Algebra Actions, Journal of Algebra 100 (1986) 363-379.
  5. S. Montgomery, Hopf Algebras and Their Actions on Rings, CBMS Regional Conference Series in Mathematics 82 (1993).
  6. S. Majid, Physics for Algebraists: Non-Commutative and Non-Cocomutative Hopf Algebras by a Bicrossproduct Construction, Journal of Algebra 130 (1990) 17-64.
  7. L. M. Ionescu, M. Marsalli, A Hopf Algebra Deformation Approach to Renormalization, (2003) arXiv:hep-th/0307112 2003.
  8. S. Majid, Hopf Algebra for Physics at the Plank Scale, Classical and Quantum Gravity5(12) (1988) 1587-1606.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

May 1, 2019

Acceptance Date

June 25, 2021

Published in Issue

Year 2021 Number: 35

APA
Ahmed, M., Mahmood, T., & Munır, M. (2021). Fuzziness on Hopf Algebraic Structures with Its Application. Journal of New Theory, 35, 20-31. https://doi.org/10.53570/jnt.846538
AMA
1.Ahmed M, Mahmood T, Munır M. Fuzziness on Hopf Algebraic Structures with Its Application. JNT. 2021;(35):20-31. doi:10.53570/jnt.846538
Chicago
Ahmed, Munir, Tahir Mahmood, and Muhammad Munır. 2021. “Fuzziness on Hopf Algebraic Structures With Its Application”. Journal of New Theory, nos. 35: 20-31. https://doi.org/10.53570/jnt.846538.
EndNote
Ahmed M, Mahmood T, Munır M (June 1, 2021) Fuzziness on Hopf Algebraic Structures with Its Application. Journal of New Theory 35 20–31.
IEEE
[1]M. Ahmed, T. Mahmood, and M. Munır, “Fuzziness on Hopf Algebraic Structures with Its Application”, JNT, no. 35, pp. 20–31, June 2021, doi: 10.53570/jnt.846538.
ISNAD
Ahmed, Munir - Mahmood, Tahir - Munır, Muhammad. “Fuzziness on Hopf Algebraic Structures With Its Application”. Journal of New Theory. 35 (June 1, 2021): 20-31. https://doi.org/10.53570/jnt.846538.
JAMA
1.Ahmed M, Mahmood T, Munır M. Fuzziness on Hopf Algebraic Structures with Its Application. JNT. 2021;:20–31.
MLA
Ahmed, Munir, et al. “Fuzziness on Hopf Algebraic Structures With Its Application”. Journal of New Theory, no. 35, June 2021, pp. 20-31, doi:10.53570/jnt.846538.
Vancouver
1.Munir Ahmed, Tahir Mahmood, Muhammad Munır. Fuzziness on Hopf Algebraic Structures with Its Application. JNT. 2021 Jun. 1;(35):20-31. doi:10.53570/jnt.846538

 

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