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A Note on Projective Coordinate Spaces Over Modules

Yıl 2019, Cilt: 7 Sayı: 1, 46 - 54, 15.04.2019

Atilla Akpinar Fatma Özen Erdoğan

Öz

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.

Anahtar Kelimeler

Lie algebra module projective coordinate space Local ring projective coordinate space

Kaynakça

  • [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).

Yıl 2019, Cilt: 7 Sayı: 1, 46 - 54, 15.04.2019

Atilla Akpinar Fatma Özen Erdoğan

Öz

Kaynakça

  • [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).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Atilla Akpinar

Fatma Özen Erdoğan

Yayımlanma Tarihi 15 Nisan 2019
Gönderilme Tarihi 18 Aralık 2018
Kabul Tarihi 27 Ocak 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 1

Kaynak Göster

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. Nisan 2019;7(1):46-54.
Chicago Akpinar, Atilla, ve Fatma Özen Erdoğan. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics 7, sy. 1 (Nisan 2019): 46-54.
EndNote Akpinar A, Özen Erdoğan F (01 Nisan 2019) A Note on Projective Coordinate Spaces Over Modules. Konuralp Journal of Mathematics 7 1 46–54.
IEEE A. Akpinar ve F. Özen Erdoğan, “A Note on Projective Coordinate Spaces Over Modules”, Konuralp J. Math., c. 7, sy. 1, ss. 46–54, 2019.
ISNAD Akpinar, Atilla - Özen Erdoğan, Fatma. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics 7/1 (Nisan 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 ve Fatma Özen Erdoğan. “A Note on Projective Coordinate Spaces Over Modules”. Konuralp Journal of Mathematics, c. 7, sy. 1, 2019, ss. 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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