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• W2962785928 abstract "In this work, we consider the problem of computing triangular bases of integral closures of one-dimensional local rings. Let ( K , v ) be a discrete valued field with valuation ring O and let m be the maximal ideal. We take f ∈ O [ x ] , a monic irreducible polynomial of degree n and consider the extension L = K [ x ] / ( f ( x ) ) as well as O L the integral closure of O in L , which we suppose to be finitely generated as an O -module. The algorithm MaxMin, presented in this paper, computes triangular bases of fractional ideals of O L . The theoretical complexity is equivalent to current state of the art methods and in practice is almost always faster. It is also considerably faster than the routines found in standard computer algebra systems, excepting some cases involving very small field extensions." @default.
• W2962785928 created "2019-07-30" @default.
• W2962785928 creator A5054866544 @default.
• W2962785928 date "2018-07-01" @default.
• W2962785928 modified "2023-10-17" @default.
• W2962785928 title "Triangular bases of integral closures" @default.
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• W2962785928 doi "https://doi.org/10.1016/j.jsc.2017.07.012" @default.
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