Isomorphism Theorems of Triple Direct Product Convergent Semigroup of Geometric Progression

Authors

  • Babayo A. M Department of Mathematics and Computer Science, Faculty of Science, Federal University of Kashere, P. M. B. 0182, Nigeria.

Keywords:

Preston-Wagner Theorem, Oneness, Trichotomy

Abstract

Given the naturally existing canonical map  which is an onto homomorphism, the short-coming of the oneness is eloquently handled by injecting  into the map as  in line with analogous application of the first isomorphism theorem. The second isomorphism theorem is a consequence of   and the third isomorphism theorem gleaned via the definition of the map .

References

. J. A. Fridy, On Statistical Convergence. Analysis, 5(1985): 301 – 313. Retrieved in 2021 from https://doi.org/10.1524/anly.1985.5.4.30/.

. M. Gurdal, Some Types of Convergence, Doctoral Thesis, S. Demirel University, Isparta, 2004.

. G. H. Hardy, A Course in Pure Mathematics, Cambridge University Press, 1921.

. W. Rudin, Principles of Mathematical Analysis, McGraw Hill Ltd, USA, 1964.

. J. B. Fraleigh, First Course in Abstract Algebra, Addison Wesley, San Francisco, USA, 2nd ed., 1977.

. D. S. Dummit and R. M. Foote, Abstract Algebra, Prentice-Hall, New York, USA, 1990.

. E. A. Noether, On Complete System of Invariants for Ternary Biquadratic Forms, University of Erlangen, Germany, 1907.

. E. Galois, Theory of Equations, Journal de Mathematique Pures et Appliquees, Bourg-La-Reine, 1846. Retrieved in 2020 at http://www.mathshistory.st.andrews.ac.uk/Biographies/Galois.

. A. K. Suschkewitz, Uber Die Endlichen Gruppen Ohne Das Gesetz Der Eindeutigen Umkehrbarkeit. Math. Ann., 99(1928): 30-50.

. M. Arturo, M. Astrid, P. Mercela, Mental Construction for Group Isomorphism Theorems, International Electronic Journal of Mathematics Education, 11(2)(2016): 377 - 393.

. A. G. Khovariski, On Solvability and Unsolvability of Equations in Explicit Form. Russian Math. Survey, 59(4)(2004): 661 – 736.

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Published

2020-09-17

How to Cite

A. M, B. . (2020). Isomorphism Theorems of Triple Direct Product Convergent Semigroup of Geometric Progression. International Journal of Formal Sciences: Current and Future Research Trends, 7(01), 1–6. Retrieved from https://ijfscfrtjournal.isrra.org/index.php/Formal_Sciences_Journal/article/view/558

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