Research Article

Projective coordinate spaces over modules

Volume: 48 Number: 2 April 1, 2019
EN

Projective coordinate spaces over modules

Abstract

In this paper, we investigate some properties of the (right) modules constructed over the local ring and also construct a projective coordinate space over the (right) module. Finally, in a 3-dimensional projective coordinate space, the incidence matrix for a line that combines the certain two points and also all points of a line given with the incidence matrix are found by the
help of Maple programme.

Keywords

References

  1. A. Blunck, Cross-ratios Over Local Alternative Rings, Results Math. 19, 246–256, 1991.
  2. S. Çiftçi and F.Ö. Erdoğan, On Projective Coordinate Spaces, Filomat, 31 (4), 941– 952, 2017.
  3. F.Ö. Erdoğan, S. Çiftçi and A. Akpınar, On Modules Over Local Rings, An. Ştiinţ. Univ. Ovidius Constanţa, 24 (1), 217–230, 2016.
  4. T.W. Hungerford, Algebra, Holt, Rinehart and Winston, 1974.
  5. M. Jukl, Linear forms on free modules over certain local ring, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 32, 49–62, 1993.
  6. M. Jukl, Grassmann formula for certain type of modules, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 34, 69–74, 1995.
  7. F. Machala, Fundamentalsatze der projektiven Geometrie mit Homomorphismus, Rozpravy CSAV Rada Mat. Prirod. Ved. 90 (5), 1980.
  8. B.R. McDonald, Geometric algebra over local rings, Marcel Dekker, 1976.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 1, 2019

Submission Date

April 12, 2017

Acceptance Date

October 24, 2017

Published in Issue

Year 2019 Volume: 48 Number: 2

APA
Özen Erdoğan, F., & Akpınar, A. (2019). Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics, 48(2), 406-419. https://izlik.org/JA69XM25TN
AMA
1.Özen Erdoğan F, Akpınar A. Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics. 2019;48(2):406-419. https://izlik.org/JA69XM25TN
Chicago
Özen Erdoğan, Fatma, and Atilla Akpınar. 2019. “Projective Coordinate Spaces over Modules”. Hacettepe Journal of Mathematics and Statistics 48 (2): 406-19. https://izlik.org/JA69XM25TN.
EndNote
Özen Erdoğan F, Akpınar A (April 1, 2019) Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics 48 2 406–419.
IEEE
[1]F. Özen Erdoğan and A. Akpınar, “Projective coordinate spaces over modules”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 2, pp. 406–419, Apr. 2019, [Online]. Available: https://izlik.org/JA69XM25TN
ISNAD
Özen Erdoğan, Fatma - Akpınar, Atilla. “Projective Coordinate Spaces over Modules”. Hacettepe Journal of Mathematics and Statistics 48/2 (April 1, 2019): 406-419. https://izlik.org/JA69XM25TN.
JAMA
1.Özen Erdoğan F, Akpınar A. Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics. 2019;48:406–419.
MLA
Özen Erdoğan, Fatma, and Atilla Akpınar. “Projective Coordinate Spaces over Modules”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 2, Apr. 2019, pp. 406-19, https://izlik.org/JA69XM25TN.
Vancouver
1.Fatma Özen Erdoğan, Atilla Akpınar. Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Apr. 1;48(2):406-19. Available from: https://izlik.org/JA69XM25TN