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] Erdogan, F. O., Ciftci, S., Akpinar, A., On Modules Over Local Rings, An. St. Univ. Ovidius Constanta, 24(1), (2016) 217-230.
- [2] Ciftci, S., Erdogan, F.O., On Projective Coordinate Spaces., Filomat, 31(4), 941-952 (2017).
- [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] Jukl, M., Grassmann formula for certain type of modules, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math, 34, 69-74 (1995).
- [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] 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
