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Year 2019, Volume: 48 Issue: 2, 406 - 419, 01.04.2019

Abstract

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.
  • K. Nomizu, Fundamentals of Linear Algebra, McGraw-Hill, 1966.

Projective coordinate spaces over modules

Year 2019, Volume: 48 Issue: 2, 406 - 419, 01.04.2019

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.

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.
  • K. Nomizu, Fundamentals of Linear Algebra, McGraw-Hill, 1966.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Fatma Özen Erdoğan 0000-0002-9691-4565

Atilla Akpınar 0000-0002-7612-2448

Publication Date April 1, 2019
Published in Issue Year 2019 Volume: 48 Issue: 2

Cite

APA Özen Erdoğan, F., & Akpınar, A. (2019). Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics, 48(2), 406-419.
AMA Özen Erdoğan F, Akpınar A. Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics. April 2019;48(2):406-419.
Chicago Özen Erdoğan, Fatma, and Atilla Akpınar. “Projective Coordinate Spaces over Modules”. Hacettepe Journal of Mathematics and Statistics 48, no. 2 (April 2019): 406-19.
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 F. Özen Erdoğan and A. Akpınar, “Projective coordinate spaces over modules”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 2, pp. 406–419, 2019.
ISNAD Özen Erdoğan, Fatma - Akpınar, Atilla. “Projective Coordinate Spaces over Modules”. Hacettepe Journal of Mathematics and Statistics 48/2 (April 2019), 406-419.
JAMA 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, 2019, pp. 406-19.
Vancouver Özen Erdoğan F, Akpınar A. Projective coordinate spaces over modules. Hacettepe Journal of Mathematics and Statistics. 2019;48(2):406-19.