Center of double extension regular algebras of type (14641)
Andr\'es Rubiano
TL;DR
This paper computes the center and central subalgebras of certain double Ore extensions of type (14641), using computational tools, and applies these results to generate new examples relevant to the Zariski cancellation problem.
Contribution
It provides explicit calculations of centers of double Ore extensions of a specific type and introduces new examples connected to the Zariski cancellation problem.
Findings
Computed centers of double Ore extensions of type (14641)
Identified conditions for central subalgebras
Generated new examples related to the Zariski cancellation problem
Abstract
In this paper we compute the center and, in several cases, central subalgebras of double Ore extensions of type (14641) under suitable restrictions on the defining parameters. Part of the analysis is supported by computations in SageMath. As an application, we provide new examples related to the Zariski cancellation problem.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra