Year 2019, Volume 7, Issue 1, Pages 46 - 54 2019-04-15

A Note on Projective Coordinate Spaces Over Modules

Atilla Akpinar [1] , Fatma Özen Erdoğan [2]

22 106

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.
Lie algebra, module, projective coordinate space, Local ring, projective coordinate space
  • [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).
Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Author: Atilla Akpinar (Primary Author)
Institution: FEN-EDEBİYAT FAKÜLTESİ
Country: Turkey


Author: Fatma Özen Erdoğan
Institution: FEN-EDEBİYAT FAKÜLTESİ
Country: Turkey


Dates

Publication Date: April 15, 2019

Bibtex @research article { konuralpjournalmath498876, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {46 - 54}, doi = {}, title = {A Note on Projective Coordinate Spaces Over Modules}, key = {cite}, author = {Akpinar, Atilla and Özen Erdoğan, Fatma} }
APA Akpinar, A , Özen Erdoğan, F . (2019). A Note on Projective Coordinate Spaces Over Modules. Konuralp Journal of Mathematics (KJM), 7 (1), 46-54. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/498876
MLA Akpinar, A , Özen Erdoğan, F . "A Note on Projective Coordinate Spaces Over Modules". Konuralp Journal of Mathematics (KJM) 7 (2019): 46-54 <http://dergipark.org.tr/konuralpjournalmath/issue/31492/498876>
Chicago Akpinar, A , Özen Erdoğan, F . "A Note on Projective Coordinate Spaces Over Modules". Konuralp Journal of Mathematics (KJM) 7 (2019): 46-54
RIS TY - JOUR T1 - A Note on Projective Coordinate Spaces Over Modules AU - Atilla Akpinar , Fatma Özen Erdoğan Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 46 EP - 54 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER -
EndNote %0 Konuralp Journal of Mathematics (KJM) A Note on Projective Coordinate Spaces Over Modules %A Atilla Akpinar , Fatma Özen Erdoğan %T A Note on Projective Coordinate Spaces Over Modules %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U
ISNAD Akpinar, Atilla , Özen Erdoğan, Fatma . "A Note on Projective Coordinate Spaces Over Modules". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 46-54.
AMA Akpinar A , Özen Erdoğan F . A Note on Projective Coordinate Spaces Over Modules. Konuralp J. Math.. 2019; 7(1): 46-54.
Vancouver Akpinar A , Özen Erdoğan F . A Note on Projective Coordinate Spaces Over Modules. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 54-46.