On the module of first and second order differentials of R⊗_k S

Nurbige Turan Zabun, Necati Olgun

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.

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Published: 2020-01-08

How to Cite this Article:

Nurbige Turan Zabun, Necati Olgun, On the module of first and second order differentials of R⊗_k S, Algebra Lett., 2020 (2020), Article ID 2

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.

Algebra Letters

ISSN 2051-5502

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