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arxiv: 1511.09292 · v2 · pith:7RIO7CI6new · submitted 2015-11-30 · 🧮 math.AC

Ascent and descent of the Golod property along algebra retracts

classification 🧮 math.AC
keywords golodalgebraalongascentdescentgradedmoduleproperty
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We study ascent and descent of the Golod property along an algebra retract. We characterise trivial extensions of modules, fibre products of rings to be Golod rings. We present a criterion for a graded module over a graded affine algebra of characteristic zero to be a Golod module.

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