Binomials Arising from Buchberger Algorithm on Polyomino Ideals
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5016Keywords:
radical, Ideal, Buchberger Algorithm, Gr\"{o}bner Bases, PolyominoAbstract
A polyomino is a finite set of unit squares joined side by side on the Cartesian plane. Qureshi introduced an ideal constructed from a polyomino which is called "polyomino ideal". In this paper, we study the binomials arising from Buchberger Algorithm on polyomino ideals. We also introduce socket wrench polyominoes and study the Gr\"{o}bner bases of the ideal $I_{\mathcal P}$ and some algebraic properties of $K[\mathcal P]$.
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Copyright (c) 2024 Yoshua Hamonangan, Intan Muchtadi-Alamsyah
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