Universe (Dec 2018)

(<i>q</i>, <i>σ</i>, <i>τ</i>)-Differential Graded Algebras

  • Viktor Abramov,
  • Olga Liivapuu,
  • Abdenacer Makhlouf

DOI
https://doi.org/10.3390/universe4120138
Journal volume & issue
Vol. 4, no. 12
p. 138

Abstract

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We propose the notion of ( q , σ , τ ) -differential graded algebra, which generalizes the notions of ( σ , τ ) -differential graded algebra and q-differential graded algebra. We construct two examples of ( q , σ , τ ) -differential graded algebra, where the first one is constructed by means of the generalized Clifford algebra with two generators (reduced quantum plane), where we use a ( σ , τ ) -twisted graded q-commutator. In order to construct the second example, we introduce the notion of ( σ , τ ) -pre-cosimplicial algebra.

Keywords