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math.AC2025★ 5 cited
Essential graded algebra over polynomial rings with real exponents
Ezra Miller
The geometric and algebraic theory of monomial ideals and multigraded modules is initiated over real-exponent polynomial rings and, more generally, monoid algebras for real polyhed…
math.AC2024
Minimal resolutions of lattice ideals
Yupeng Li, Ezra Miller, Erika Ordog
A canonical minimal free resolution of an arbitrary co-artinian lattice ideal over the polynomial ring is constructed over any field whose characteristic is 0 or any but finitely m…