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Preserved in Portico This version is not peer-reviewed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.
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.
Keywords
q-differential graded algebra; (σ,τ)-differential graded algebra; generalized Clifford algebra; pre-cosimplicial complex
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
