Affiliation:
1. The "Andrei Şaguna" National College, Andrei Şaguna str. No. 1, Braşov, Romania
Abstract
In this paper, we introduce 2-ρ-derivations on a ρ-algebra A, and define 2-linear connections on a ρ-bimodule M over A using these 2-derivations. Then we introduce and study the curvature of a linear connection. Our results are applied to the particular case of the quaternionic algebra ℍ.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Cited by
3 articles.
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1. Statistical rho-commutative algebras;Hacettepe Journal of Mathematics and Statistics;2022-12-31
2. Riemannian Geometry on Hom-ρ-commutative Algebras;Chinese Annals of Mathematics, Series B;2022-03
3. (Para-) Kähler Structures on
$$\rho $$
ρ
-Commutative Algebras;Advances in Applied Clifford Algebras;2018-10-13