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Tensor, symmetric and exterior algebras Kähler modules

Year 2016, Volume: 4 Issue: 3, 290 - 295, 30.09.2016

Abstract



Let  be an algebraically closed field of
characteristic zero,
 an affine k-algebra and let  denote its universal finite Kähler
module of differentials over
. In this paper, we consider the tensor, exterior and symmetric algebras
of Kähler modules introduced by H. Osborn [9]. We explore some interesting
properties of the algebras of Kähler modules, which have not been considered
before.




References

  • Eisenbud D., Commutative Algebra with a View Toward Algbraic Geometry, Springer Verlag, New York (1995).
  • Erdogan,A., Differential Operators and Their Universal Modules, Phd. Thesis, University of Leeds,(1993).
  • George M.Bergman, Tensor algebras, exterior algebras and symmetric algebras, http://math.berkeley.edu/ gbergman, (1997).
  • Johnson J. Kähler Differential and differential algebra, The Annals of Mathematics, Second series, Vol.89, No 1, 92–98,(1969).
  • McConnell, J.C. and Rabson, J.C. , Noncommutative Noetherian Rings, Wiley-Interscience,(1987).
  • Nakai, Y., High Order Derevations, Osaka J. Math.7,1–27,(1970).
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  • Osborn, H., Modules of Differentials I, Math. Ann.170, 221-244, (1967).
  • Sweedler, M.E., Groups of Simple Algebras, Publ. Math. No:44. (1975).
  • Sweedler ,M.E. and Heyneman, R.G.,Affine Hopf Algebras, J.algebra 13,192–241,(1969).
  • Bourbaki, N., Elements of Mathematics, Algebra I.Chapters1–3, Springer-Verlag, (1989).
  • Mac Lane, S. and Birkhoff, G., Algebra, AMS Chelsea, (1999).
Year 2016, Volume: 4 Issue: 3, 290 - 295, 30.09.2016

Abstract

References

  • Eisenbud D., Commutative Algebra with a View Toward Algbraic Geometry, Springer Verlag, New York (1995).
  • Erdogan,A., Differential Operators and Their Universal Modules, Phd. Thesis, University of Leeds,(1993).
  • George M.Bergman, Tensor algebras, exterior algebras and symmetric algebras, http://math.berkeley.edu/ gbergman, (1997).
  • Johnson J. Kähler Differential and differential algebra, The Annals of Mathematics, Second series, Vol.89, No 1, 92–98,(1969).
  • McConnell, J.C. and Rabson, J.C. , Noncommutative Noetherian Rings, Wiley-Interscience,(1987).
  • Nakai, Y., High Order Derevations, Osaka J. Math.7,1–27,(1970).
  • Olgun, N., The Universal Differential Modules of Finitely Generated Algebras, Ph.D Thesis, Hacettepe University, (2005).
  • Olgun, N. and Erdogan, A. , Some Results On Universal Modules, Int. Mat. For. 1(15), 707-712, (2006).
  • Osborn, H., Modules of Differentials I, Math. Ann.170, 221-244, (1967).
  • Sweedler, M.E., Groups of Simple Algebras, Publ. Math. No:44. (1975).
  • Sweedler ,M.E. and Heyneman, R.G.,Affine Hopf Algebras, J.algebra 13,192–241,(1969).
  • Bourbaki, N., Elements of Mathematics, Algebra I.Chapters1–3, Springer-Verlag, (1989).
  • Mac Lane, S. and Birkhoff, G., Algebra, AMS Chelsea, (1999).
There are 13 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Necati Olgun

Mehmet Sahin This is me

Vakkas Ulucay This is me

Publication Date September 30, 2016
Published in Issue Year 2016 Volume: 4 Issue: 3

Cite

APA Olgun, N., Sahin, M., & Ulucay, V. (2016). Tensor, symmetric and exterior algebras Kähler modules. New Trends in Mathematical Sciences, 4(3), 290-295.
AMA Olgun N, Sahin M, Ulucay V. Tensor, symmetric and exterior algebras Kähler modules. New Trends in Mathematical Sciences. September 2016;4(3):290-295.
Chicago Olgun, Necati, Mehmet Sahin, and Vakkas Ulucay. “Tensor, Symmetric and Exterior Algebras Kähler Modules”. New Trends in Mathematical Sciences 4, no. 3 (September 2016): 290-95.
EndNote Olgun N, Sahin M, Ulucay V (September 1, 2016) Tensor, symmetric and exterior algebras Kähler modules. New Trends in Mathematical Sciences 4 3 290–295.
IEEE N. Olgun, M. Sahin, and V. Ulucay, “Tensor, symmetric and exterior algebras Kähler modules”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 290–295, 2016.
ISNAD Olgun, Necati et al. “Tensor, Symmetric and Exterior Algebras Kähler Modules”. New Trends in Mathematical Sciences 4/3 (September 2016), 290-295.
JAMA Olgun N, Sahin M, Ulucay V. Tensor, symmetric and exterior algebras Kähler modules. New Trends in Mathematical Sciences. 2016;4:290–295.
MLA Olgun, Necati et al. “Tensor, Symmetric and Exterior Algebras Kähler Modules”. New Trends in Mathematical Sciences, vol. 4, no. 3, 2016, pp. 290-5.
Vancouver Olgun N, Sahin M, Ulucay V. Tensor, symmetric and exterior algebras Kähler modules. New Trends in Mathematical Sciences. 2016;4(3):290-5.