Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# $(q,\sigma,\tau)$-Differential Graded Algebras

Version 1 : Received: 30 October 2018 / Approved: 31 October 2018 / Online: 31 October 2018 (10:03:24 CET)

A peer-reviewed article of this Preprint also exists.

Abramov, V.; Liivapuu, O.; Makhlouf, A. (q,σ,τ)-Differential Graded Algebras. Universe 2018, 4, 138. Abramov, V.; Liivapuu, O.; Makhlouf, A. (q,σ,τ)-Differential Graded Algebras. Universe 2018, 4, 138.

Journal reference: Universe 2018, 4, 138
DOI: 10.3390/universe4120138

## Abstract

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

Views 0
Metrics 0