Research Article
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.
Keywords
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).
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- 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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- 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).
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 | |
| Publication Date | September 30, 2016 |
| Published in Issue | Year 2016 Volume: 4 Issue: 3 |
