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The Third Isomorphism Theorem on UP-Bialgebras

Year 2019, Volume: 2 Issue: 1, 24 - 27, 17.06.2019
https://doi.org/10.33401/fujma.552192

Abstract

The concept of UP-bialgebras was introduced and analyzed by Mosrijai and Iampan at the beginning of 2019. Theorem that we can look at as the First theorem on UP-biisomorphism between the UP-bialgebras is given in our forthcoming text [9]. In this article we construct a form of the third theorem on UP-biisomorphism between UP-bialgebras.

References

  • [1] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Topics, 5(1) (2017), 35-–54.
  • [2] A. Iampan, The UP-isomorphism theorems for UP-algebras, Discuss. Math. Gen. Algebra Appl., 39(1) (2019), 113–123.
  • [3] P. Mosrijai, A. Satirad, A. Iampan, The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UPhomomorphism, Fundam. J. Math. Appl., 1(1) (2018), 12–17.
  • [4] D. A. Romano, Proper UP-filters in UP-algebra, Univers. J. Math. Appl., 1(2) (2018), 98–100.
  • [5] D. A. Romano, Some properties of proper UP-filters of UP-algebras, Fundam. J. Math. Appl., 1(2) (2018), 109–111.
  • [6] D. A. Romano, Notes on UP-ideals in UP-algebras, Commun. Adv. Math. Sci., 1(1) (2018), 35–38.
  • [7] W. B. V. Kandasamy, Bialgebraic Structures and Smarandache Bialgebraic Structures, India: American Research Press, 2003.
  • [8] P. Mosrijai, A. Iampan, A new branch of bialgebraic structures: UP-bialgebras, J. Taibah University Sci., 13(1) (2019), 450-–459.
  • [9] D. A. Romano, The first theorem on UP-biizomorphism between UP-bialgebras, Konuralp J. Math., (To appear)
Year 2019, Volume: 2 Issue: 1, 24 - 27, 17.06.2019
https://doi.org/10.33401/fujma.552192

Abstract

References

  • [1] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Topics, 5(1) (2017), 35-–54.
  • [2] A. Iampan, The UP-isomorphism theorems for UP-algebras, Discuss. Math. Gen. Algebra Appl., 39(1) (2019), 113–123.
  • [3] P. Mosrijai, A. Satirad, A. Iampan, The new UP-isomorphism theorems for UP-algebras in the meaning of the congruence determined by a UPhomomorphism, Fundam. J. Math. Appl., 1(1) (2018), 12–17.
  • [4] D. A. Romano, Proper UP-filters in UP-algebra, Univers. J. Math. Appl., 1(2) (2018), 98–100.
  • [5] D. A. Romano, Some properties of proper UP-filters of UP-algebras, Fundam. J. Math. Appl., 1(2) (2018), 109–111.
  • [6] D. A. Romano, Notes on UP-ideals in UP-algebras, Commun. Adv. Math. Sci., 1(1) (2018), 35–38.
  • [7] W. B. V. Kandasamy, Bialgebraic Structures and Smarandache Bialgebraic Structures, India: American Research Press, 2003.
  • [8] P. Mosrijai, A. Iampan, A new branch of bialgebraic structures: UP-bialgebras, J. Taibah University Sci., 13(1) (2019), 450-–459.
  • [9] D. A. Romano, The first theorem on UP-biizomorphism between UP-bialgebras, Konuralp J. Math., (To appear)
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Daniel A. Romano 0000-0003-1148-3258

Publication Date June 17, 2019
Submission Date April 11, 2019
Acceptance Date May 29, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Romano, D. A. (2019). The Third Isomorphism Theorem on UP-Bialgebras. Fundamental Journal of Mathematics and Applications, 2(1), 24-27. https://doi.org/10.33401/fujma.552192
AMA Romano DA. The Third Isomorphism Theorem on UP-Bialgebras. Fundam. J. Math. Appl. June 2019;2(1):24-27. doi:10.33401/fujma.552192
Chicago Romano, Daniel A. “The Third Isomorphism Theorem on UP-Bialgebras”. Fundamental Journal of Mathematics and Applications 2, no. 1 (June 2019): 24-27. https://doi.org/10.33401/fujma.552192.
EndNote Romano DA (June 1, 2019) The Third Isomorphism Theorem on UP-Bialgebras. Fundamental Journal of Mathematics and Applications 2 1 24–27.
IEEE D. A. Romano, “The Third Isomorphism Theorem on UP-Bialgebras”, Fundam. J. Math. Appl., vol. 2, no. 1, pp. 24–27, 2019, doi: 10.33401/fujma.552192.
ISNAD Romano, Daniel A. “The Third Isomorphism Theorem on UP-Bialgebras”. Fundamental Journal of Mathematics and Applications 2/1 (June 2019), 24-27. https://doi.org/10.33401/fujma.552192.
JAMA Romano DA. The Third Isomorphism Theorem on UP-Bialgebras. Fundam. J. Math. Appl. 2019;2:24–27.
MLA Romano, Daniel A. “The Third Isomorphism Theorem on UP-Bialgebras”. Fundamental Journal of Mathematics and Applications, vol. 2, no. 1, 2019, pp. 24-27, doi:10.33401/fujma.552192.
Vancouver Romano DA. The Third Isomorphism Theorem on UP-Bialgebras. Fundam. J. Math. Appl. 2019;2(1):24-7.

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