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math.AC2019
Efficient Gröbner Bases Computation over Principal Ideal Rings
Christian Eder, Tommy Hofmann
In this paper we present a new efficient variant to compute strong Gröbner basis over quotients of principal ideal domains. We show an easy lifting process which allows us to reduc…
math.AC2019
On Gröbner bases over Dedekind domains
Tommy Hofmann
Gröbner bases are a fundamental tool when studying ideals in multivariate polynomial rings. More recently there has been a growing interest in transferring techniques from the fiel…