A Note on Rhotrices Ring

Ummahan Merdinaz Acar; Betül Coşgun; Emre Çiftlikli

Research Article

A Note on Rhotrices Ring

Year 2019, Issue: 29, 32 - 41, 30.12.2019

Ummahan Merdinaz Acar , Betül Coşgun Emre Çiftlikli

https://izlik.org/JA35CJ55JL

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

Rhotrix , rhotrices ring , ideals of a rhotrices ring

Project Number

17-223

References

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.
A. O. Ajibade, The Concept of Rhotrix in Mathematical Enrichment, International Journal of Mathematical Education in Science and Technology 34 (2003) 175-179.
A. Mohammed, A Remark on The Classifications of Rhotrices as Abstract Structures, International Journal of Physical Sciences 4 (2009) 496-499.
B. Sani, An Alternative Method for Multiplication of Rhotrices, International Journal of Mathematical Education in Science and Technology 35 (2004) 777-781.
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.
A. Mohammed, The Non-Commutative Full Rhotrix Ring and Its Subring, Science World Journal 13 (2018) 24-36.
G. Abrams, P. Ara, M. S. Molina, The Leavitt Path Algebra of a Graph, Lecture Notes in Mathematics 2191, Springer, 2017.

Year 2019, Issue: 29, 32 - 41, 30.12.2019

Ummahan Merdinaz Acar , Betül Coşgun Emre Çiftlikli

https://izlik.org/JA35CJ55JL

Abstract

Supporting Institution

Muğla Sıtkı Koçman University

Project Number

17-223

References

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.
A. O. Ajibade, The Concept of Rhotrix in Mathematical Enrichment, International Journal of Mathematical Education in Science and Technology 34 (2003) 175-179.
A. Mohammed, A Remark on The Classifications of Rhotrices as Abstract Structures, International Journal of Physical Sciences 4 (2009) 496-499.
B. Sani, An Alternative Method for Multiplication of Rhotrices, International Journal of Mathematical Education in Science and Technology 35 (2004) 777-781.
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.
A. Mohammed, The Non-Commutative Full Rhotrix Ring and Its Subring, Science World Journal 13 (2018) 24-36.
G. Abrams, P. Ara, M. S. Molina, The Leavitt Path Algebra of a Graph, Lecture Notes in Mathematics 2191, Springer, 2017.

There are 7 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Ummahan Merdinaz Acar Betül Coşgun This is me Emre Çiftlikli This is me
Project Number	17-223
Submission Date	March 29, 2019
Publication Date	December 30, 2019
IZ	https://izlik.org/JA35CJ55JL
Published in Issue	Year 2019 Issue: 29

Cite

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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