Research Article

A Note on Rhotrices Ring

Number: 29 December 30, 2019
EN

A Note on Rhotrices Ring

Abstract

In this paper, we define algebraic operations on 3-dimensional rhotrices over an arbitrary ring R and show that the set of 3-dimensional rhotrices over an arbitrary ring R is a ring according to these operations. We investigate the properties of a rhotrices ring. Furthermore, we characterize the ideals of a rhotrices ring. Also, maximal ideals and prime ideals of a rhotrices ring are investigated. An example of these concepts is presented.

Keywords

Supporting Institution

Muğla Sıtkı Koçman University

Project Number

17-223

References

  1. K. T. Atanassov, A. G. Shannon, Matrix-tertions and Matrix-noitrets: Exercises in Mathematical Enrichment, International Journal of Mathematical Education in Science and Technology 29 (1998) 898-903.
  2. A. O. Ajibade, The Concept of Rhotrix in Mathematical Enrichment, International Journal of Mathematical Education in Science and Technology 34 (2003) 175-179.
  3. A. Mohammed, A Remark on The Classifications of Rhotrices as Abstract Structures, International Journal of Physical Sciences 4 (2009) 496-499.
  4. B. Sani, An Alternative Method for Multiplication of Rhotrices, International Journal of Mathematical Education in Science and Technology 35 (2004) 777-781.
  5. A. Mohammed, M. Balarabe, First Review of Articles on Rhotrix Theory Since Its Inception, Advances in Linear Algebra and Matrix Theory 4 (2014) 216-224.
  6. A. Mohammed, The Non-Commutative Full Rhotrix Ring and Its Subring, Science World Journal 13 (2018) 24-36.
  7. G. Abrams, P. Ara, M. S. Molina, The Leavitt Path Algebra of a Graph, Lecture Notes in Mathematics 2191, Springer, 2017.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Betül Coşgun This is me
Türkiye

Emre Çiftlikli This is me
Türkiye

Publication Date

December 30, 2019

Submission Date

March 29, 2019

Acceptance Date

November 2, 2019

Published in Issue

Year 2019 Number: 29

APA
Acar, U. M., Coşgun, B., & Çiftlikli, E. (2019). A Note on Rhotrices Ring. Journal of New Theory, 29, 32-41. https://izlik.org/JA35CJ55JL
AMA
1.Acar UM, Coşgun B, Çiftlikli E. A Note on Rhotrices Ring. JNT. 2019;(29):32-41. https://izlik.org/JA35CJ55JL
Chicago
Acar, Ummahan Merdinaz, Betül Coşgun, and Emre Çiftlikli. 2019. “A Note on Rhotrices Ring”. Journal of New Theory, nos. 29: 32-41. https://izlik.org/JA35CJ55JL.
EndNote
Acar UM, Coşgun B, Çiftlikli E (December 1, 2019) A Note on Rhotrices Ring. Journal of New Theory 29 32–41.
IEEE
[1]U. M. Acar, B. Coşgun, and E. Çiftlikli, “A Note on Rhotrices Ring”, JNT, no. 29, pp. 32–41, Dec. 2019, [Online]. Available: https://izlik.org/JA35CJ55JL
ISNAD
Acar, Ummahan Merdinaz - Coşgun, Betül - Çiftlikli, Emre. “A Note on Rhotrices Ring”. Journal of New Theory. 29 (December 1, 2019): 32-41. https://izlik.org/JA35CJ55JL.
JAMA
1.Acar UM, Coşgun B, Çiftlikli E. A Note on Rhotrices Ring. JNT. 2019;:32–41.
MLA
Acar, Ummahan Merdinaz, et al. “A Note on Rhotrices Ring”. Journal of New Theory, no. 29, Dec. 2019, pp. 32-41, https://izlik.org/JA35CJ55JL.
Vancouver
1.Ummahan Merdinaz Acar, Betül Coşgun, Emre Çiftlikli. A Note on Rhotrices Ring. JNT [Internet]. 2019 Dec. 1;(29):32-41. Available from: https://izlik.org/JA35CJ55JL

 

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