Tensor, symmetric and exterior algebras Kähler modules
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.
Keywords
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).
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Necati Olgun
*
Türkiye
Mehmet Sahin
Bu kişi benim
Türkiye
Vakkas Ulucay
Bu kişi benim
Türkiye
Yayımlanma Tarihi
30 Eylül 2016
Gönderilme Tarihi
3 Şubat 2016
Kabul Tarihi
12 Mart 2016
Yayımlandığı Sayı
Yıl 1970 Cilt: 4 Sayı: 3