Coherence fails to close Gorenstein flat modules under direct products
One countable power of a PGF module has infinite Gorenstein flat dimension, answering an open question.
· “Direct products of Gorenstein flat modules over coherent rings”
math.AC
Commutative Algebra
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
Isolated singularities force the asymptotic Lech constant to 1
The asymptotic Lech conjecture now holds in all characteristics, whenever the completion has isolated singularities.
· “Asymptotic Lech Bounds and Bertini Flags”
One checkable position yields an ideal's generic invariants
β-maximal position lets plain coordinates, not luck, certify invariants usually tied to random choices.
· “Deterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers”