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math-ph2004
Universal differential calculus on ternary algebras
N. Bazunova, A. Borowiec, R. Kerner
General concept of ternary algebras is introduced in this article, along with several examples of its realization. Universal envelope of such algebras is defined, as well as the co…
math-ph2000
Algebra of differential forms with exterior differential in dimension one
V. Abramov, N. Bazunova
In this work, we construct the algebra of differential forms with the cube of exterior differential equal to zero on one-dimensional space. We prove that this algebra is a graded q…