Ext-symmetry over quantum complete intersections
Petter Andreas Bergh
TL;DR
This paper demonstrates that symmetry in the vanishing of cohomology applies to graded modules over quantum complete intersections and extends to all modules when the algebra is symmetric.
Contribution
It establishes symmetry properties in cohomology for quantum complete intersections, expanding understanding of their algebraic structure.
Findings
Symmetry in cohomology vanishing for graded modules
Symmetry extends to all modules if the algebra is symmetric
Provides new insights into quantum complete intersections
Abstract
We show that symmetry in the vanishing of cohomology holds for graded modules over quantum complete intersections. Moreover, symmetry holds for all modules if the algebra is symmetric.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Combinatorial Mathematics