On the module of first and second order differentials of R⊗_k S
Abstract
Let R and S be k-algebras with characteristic zero. Let Ω_k^1 (R⊗_k S) and Ω_k^2 (R⊗_k S) are first and second order universal differential modules over R⊗_k S, respectively. The main result of this paper asserts that in which cases Ω_k^1 (R⊗_k S) and Ω_k^2 (R⊗_k S) can be free modules by using symmetric derivation.
- Published
- 8 January 2020
- Volume
- 2020 (2020)
- License
- CC BY 3.0
Copyright © 2020 Nurbige Turan Zabun, Necati Olgun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
N. Turan Zabun, N. Olgun, On the module of first and second order differentials of R⊗_k S, Algebra Lett. 2020 (2020), 2. https://doi.org/10.28919/al/4416
BibTeX
@article{Zabun2020,
author = {Turan Zabun, Nurbige and Olgun, Necati},
title = {On the module of first and second order differentials of R⊗_k S},
journal = {Algebra Lett.},
volume = {2020},
year = {2020},
pages = {2},
doi = {10.28919/al/4416}
}