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• W1978771104 abstract "This paper continues our study of applications of factorized Gröbner basis computations in [8] and [9]. We describe a way to interweave factorized Gröbner bases and the ideas in [5] that leads to a significant speed up in the computation of isolated primes for well splitting examples. Based on that observation we generalize the algorithm presented in [22] to the computation of primary decompositions for modules. It rests on an ideal separation argument. We also discuss the practically important question how to extract a minimal primary decomposition, neither addressed in [5] nor in [17]. For that purpose we outline a method to detect necessary embedded primes in the output collection of our algorithm, similar to [22, cor. 2.22]. The algorithms are partly implemented in version 2.2.1 of our REDUCE package CALI [7]." @default.
• W1978771104 created "2016-06-24" @default.
• W1978771104 creator A5076180357 @default.
• W1978771104 date "1997-04-21" @default.
• W1978771104 modified "2023-10-14" @default.
• W1978771104 title "Minimal Primary Decomposition and Factorized Gröbner Bases" @default.
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• W1978771104 doi "https://doi.org/10.1007/s002000050064" @default.
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