Explicit minimal graded resolutions and Betti numbers are determined for the trivial module and two cyclic modules over a graded double Ore extension of the quantum plane in the (14641) family.
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Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.
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A note on explicit homological invariants of graded double Ore extensions
Explicit minimal graded resolutions and Betti numbers are determined for the trivial module and two cyclic modules over a graded double Ore extension of the quantum plane in the (14641) family.
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Betti numbers for cochordal zero-divisor graphs of commutative rings
Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.
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