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math.AC2018★ 3 cited
The TestIdeals package for Macaulay2
Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova +7
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, -linear and -l…
math.AC2014
Intersection algebras for principal monomial ideals in polynomial rings
Florian Enescu, Sara Malec
The properties of the intersection algebra of two principal monomial ideals in a polynomial ring are investigated in detail. Results are obtained regarding the Hilbert series and t…
math.AC2013
On the Intersection Algebra of Principal Ideals
Sara Malec
We study the finite generation of the intersection algebra of two principal ideals I and J in a unique factorization domain R. We provide an algorithm that produces a list of gener…