PARAMETRIC POLYNOMIAL IDEAL MEMBERSHIP PROBLEM

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DEHGHANI DARMIAN MAHDI; FANDER MOHAMMAD REZA

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

PARAMETRIC POLYNOMIAL IDEAL MEMBERSHIP PROBLEM

Author(s)

DEHGHANI DARMIAN MAHDI | FANDER MOHAMMAD REZA | Issue Writer Certificate

Keywords

POLYNOMIAL RING

IDEAL MEMBERSHIP SYSTEM

GROBNER SYSTEM

Abstract

IN THIS PAPER, WE STUDY THE PARAMETRIC POLYNOMIAL IDEAL MEMBERSHIP PROBLEM. USING THE CONCEPT OF GROBNER SYSTEMS FOR PARAMETRIC POLYNOMIAL IDEALS, WE INTRODUCE THE NOTION OF AN IDEAL MEMBERSHIP SYSTEM FOR A PARAMETRIC POLYNOMIAL W.R.T A PARAMETRIC POLYNOMIAL IDEAL, I.E. WE DECOMPOSE THE SPACE OF PARAMETERS INTO A FINITE SET OF CELLS, AND FOR EACH CELL WE CAN DECIDE THAT WHETHER A POLYNOMIAL BELONGS TO PARAMETRIC IDEAL OR NO. WE ALSO PRESENT AN ALGORITHM FOR COMPUTING THIS SYSTEM.

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APA: Copy

DEHGHANI DARMIAN, MAHDI, & FANDER, MOHAMMAD REZA. (2013). PARAMETRIC POLYNOMIAL IDEAL MEMBERSHIP PROBLEM. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/923917/en

Vancouver: Copy

DEHGHANI DARMIAN MAHDI, FANDER MOHAMMAD REZA. PARAMETRIC POLYNOMIAL IDEAL MEMBERSHIP PROBLEM. 2013. Available from: https://sid.ir/paper/923917/en

IEEE: Copy

MAHDI DEHGHANI DARMIAN, and MOHAMMAD REZA FANDER, “PARAMETRIC POLYNOMIAL IDEAL MEMBERSHIP PROBLEM,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/923917/en

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