Research Article

A Note on Projective Coordinate Spaces Over Modules

Volume: 7 Number: 1 April 15, 2019
EN

A Note on Projective Coordinate Spaces Over Modules

Abstract

In this article, we deal with a special class of local rings and determine some of its properties. Later, several properties of the (left) modules constructed over the class are examined, and a projective coordinate space over the (left) modules is constructed. In a 3-dimensional projective coordinate space, all points of a line given with the incidence matrix and, dually, the incidence matrix for the line passing through two points are obtained by the help of the Maple programme.

Keywords

References

  1. [1] Erdogan, F. O., Ciftci, S., Akpinar, A., On Modules Over Local Rings, An. St. Univ. Ovidius Constanta, 24(1), (2016) 217-230.
  2. [2] Ciftci, S., Erdogan, F.O., On Projective Coordinate Spaces., Filomat, 31(4), 941-952 (2017).
  3. [3] Jukl, M., Linear forms on free modules over certain local ring, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math, 32, 49-62 (1993).
  4. [4] Jukl, M., Grassmann formula for certain type of modules, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math, 34, 69-74 (1995).
  5. [5] Puta, M., Optimal control problems on the Lie group SP(1). Marchiafava, S., Piccinni, P. and Pontecorvo, M., (Eds.) Second Meeting on Quaternionic Structures in Mathematics and Physics, Roma, Italy, (6-10 September 1999). Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and Physics, World Scientific: Singapure, 339-347 (2001).
  6. [6] Machala, F., Fundamentalsatze der projektiven Geometrie mit Homomorphismus, Rozpravy CSAV, Rada Mat. Prirod. Ved, 90, no. 5, 81pp (1980).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 15, 2019

Submission Date

December 18, 2018

Acceptance Date

January 27, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Akpinar, A., & Özen Erdoğan, F. (2019). A Note on Projective Coordinate Spaces Over Modules. Konuralp Journal of Mathematics, 7(1), 46-54. https://izlik.org/JA99SD95YA
AMA
1.Akpinar A, Özen Erdoğan F. A Note on Projective Coordinate Spaces Over Modules. Konuralp J. Math. 2019;7(1):46-54. https://izlik.org/JA99SD95YA
Chicago
Akpinar, Atilla, and Fatma Özen Erdoğan. 2019. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics 7 (1): 46-54. https://izlik.org/JA99SD95YA.
EndNote
Akpinar A, Özen Erdoğan F (April 1, 2019) A Note on Projective Coordinate Spaces Over Modules. Konuralp Journal of Mathematics 7 1 46–54.
IEEE
[1]A. Akpinar and F. Özen Erdoğan, “A Note on Projective Coordinate Spaces Over Modules”, Konuralp J. Math., vol. 7, no. 1, pp. 46–54, Apr. 2019, [Online]. Available: https://izlik.org/JA99SD95YA
ISNAD
Akpinar, Atilla - Özen Erdoğan, Fatma. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 46-54. https://izlik.org/JA99SD95YA.
JAMA
1.Akpinar A, Özen Erdoğan F. A Note on Projective Coordinate Spaces Over Modules. Konuralp J. Math. 2019;7:46–54.
MLA
Akpinar, Atilla, and Fatma Özen Erdoğan. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics, vol. 7, no. 1, Apr. 2019, pp. 46-54, https://izlik.org/JA99SD95YA.
Vancouver
1.Atilla Akpinar, Fatma Özen Erdoğan. A Note on Projective Coordinate Spaces Over Modules. Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):46-54. Available from: https://izlik.org/JA99SD95YA
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