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A Note on Projective Coordinate Spaces Over Modules

Year 2019, Volume: 7 Issue: 1, 46 - 54, 15.04.2019

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.

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).
Year 2019, Volume: 7 Issue: 1, 46 - 54, 15.04.2019

Abstract

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).
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Atilla Akpinar

Fatma Özen Erdoğan

Publication Date April 15, 2019
Submission Date December 18, 2018
Acceptance Date January 27, 2019
Published in Issue Year 2019 Volume: 7 Issue: 1

Cite

APA Akpinar, A., & Özen Erdoğan, F. (2019). A Note on Projective Coordinate Spaces Over Modules. Konuralp Journal of Mathematics, 7(1), 46-54.
AMA Akpinar A, Özen Erdoğan F. A Note on Projective Coordinate Spaces Over Modules. Konuralp J. Math. April 2019;7(1):46-54.
Chicago Akpinar, Atilla, and Fatma Özen Erdoğan. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics 7, no. 1 (April 2019): 46-54.
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 A. Akpinar and F. Özen Erdoğan, “A Note on Projective Coordinate Spaces Over Modules”, Konuralp J. Math., vol. 7, no. 1, pp. 46–54, 2019.
ISNAD Akpinar, Atilla - Özen Erdoğan, Fatma. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics 7/1 (April 2019), 46-54.
JAMA 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, 2019, pp. 46-54.
Vancouver Akpinar A, Özen Erdoğan F. A Note on Projective Coordinate Spaces Over Modules. Konuralp J. Math. 2019;7(1):46-54.
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