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Tensor, symmetric and exterior algebras Kähler modules

Yıl 2016, Cilt: 4 Sayı: 3, 290 - 295, 30.09.2016

Öz



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.




Kaynakça

  • 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).
Yıl 2016, Cilt: 4 Sayı: 3, 290 - 295, 30.09.2016

Öz

Kaynakça

  • 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).
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Necati Olgun

Mehmet Sahin Bu kişi benim

Vakkas Ulucay Bu kişi benim

Yayımlanma Tarihi 30 Eylül 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 3

Kaynak Göster

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. Eylül 2016;4(3):290-295.
Chicago Olgun, Necati, Mehmet Sahin, ve Vakkas Ulucay. “Tensor, Symmetric and Exterior Algebras Kähler Modules”. New Trends in Mathematical Sciences 4, sy. 3 (Eylül 2016): 290-95.
EndNote Olgun N, Sahin M, Ulucay V (01 Eylül 2016) Tensor, symmetric and exterior algebras Kähler modules. New Trends in Mathematical Sciences 4 3 290–295.
IEEE N. Olgun, M. Sahin, ve V. Ulucay, “Tensor, symmetric and exterior algebras Kähler modules”, New Trends in Mathematical Sciences, c. 4, sy. 3, ss. 290–295, 2016.
ISNAD Olgun, Necati vd. “Tensor, Symmetric and Exterior Algebras Kähler Modules”. New Trends in Mathematical Sciences 4/3 (Eylül 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 vd. “Tensor, Symmetric and Exterior Algebras Kähler Modules”. New Trends in Mathematical Sciences, c. 4, sy. 3, 2016, ss. 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.