On the tensor product construction for q-differential algebras

Abstract

We show that for $q\ne -1$ the q-graded tensor product fails to preserve the q-differential structure of the product algebra and therefore there is no natural tensor product construction for q-differential algebras.

LaTeX, 10 pages

References in corpus (3)

• Hypersymmetry: a Z_3-graded generalization of supersymmetry
• On the q-analog of homological algebra
• Generalized differential spaces with $d^N=0$ and the $q$-differential calculus

Cited by in corpus (2)

• Hopfological Algebra
• On $N$-differential graded algebras