Isomorphism Theorems of Triple Direct Product Convergent Semigroup of Geometric Progression
Keywords:
Preston-Wagner Theorem, Oneness, TrichotomyAbstract
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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