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