AN EFFICIENT ALGORITHM TO COMPUTE H-BASES

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HASHEMI AMIR; Javanbakht Masoumeh

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

AN EFFICIENT ALGORITHM TO COMPUTE H-BASES

Author(s)

HASHEMI AMIR | Javanbakht Masoumeh

Keywords

POLYNOMIAL RING

GROBNER BASES

SYZYGY MODULE

MINIMAL GENERATING SET

H-BASES

Abstract

H-BASES ARE A PARTICULAR KIND OF BASES FOR POLYNOMIAL IDEALS, CHARACTERIZED BY THE FACT THAT THEIR HOMOGENEOUS LEADING TERMS ARE A BASIS FOR THE ASSOCIATED HOMOGENEOUS IDEAL. IN THE COMPUTATION OF H-BASES, THE MAIN OBSTACLE IS TO DETERMINE A SYSTEM OF GENERATORS FOR EACH UNDER CONSIDERATION SYZYGY MODULE. THE ONLY KNOWN METHOD TO DOING SO, IS BASED ON THE GROBNER BASES COMPUTATION WHICH MAKES THE COMPUTATION OF H-BASES FAR FROM EFFICIENCY. IN THIS PAPER, WE PRESENT AND STUDY AN EFFICIENT METHOD TO COMPUTE H-BASES WITHOUT RELYING ON THE GROBNER BASES CALCULATION.

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APA: Copy

HASHEMI, AMIR, & Javanbakht, Masoumeh. (2016). AN EFFICIENT ALGORITHM TO COMPUTE H-BASES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938667/en

Vancouver: Copy

HASHEMI AMIR, Javanbakht Masoumeh. AN EFFICIENT ALGORITHM TO COMPUTE H-BASES. 2016. Available from: https://sid.ir/paper/938667/en

IEEE: Copy

AMIR HASHEMI, and Masoumeh Javanbakht, “AN EFFICIENT ALGORITHM TO COMPUTE H-BASES,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938667/en

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